Fuzzy Semigroups

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Fuzzy Semigroups

Author : John N. Mordeson
Publisher : Springer
ISBN 13 : 3540371257
Total Pages : 324 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Fuzzy Semigroups by : John N. Mordeson

Download or read book Fuzzy Semigroups written by John N. Mordeson and published by Springer. This book was released on 2012-11-03 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.

Fuzzy and Neutrosophic Sets in Semigroups

Author : Young Bae Jun
Publisher : Infinite Study
ISBN 13 : 1599735482
Total Pages : 96 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Fuzzy and Neutrosophic Sets in Semigroups by : Young Bae Jun

Download or read book Fuzzy and Neutrosophic Sets in Semigroups written by Young Bae Jun and published by Infinite Study. This book was released on 2018-01-01 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics discussed in this book are Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, starshaped (∈, ∈∨ qk)-fuzzy set, quasi-starshaped (∈, ∈∨ qk)-fuzzy set, semidetached mapping, semidetached semigroup, (∈, ∈ ∨qk)-fuzzy subsemi-group, (qk, ∈ ∨qk)-fuzzy subsemigroup, (∈, ∈ ∨ qk)-fuzzy subsemigroup, (qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈ ∨ qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈, ∈∨ qkδ)-fuzzy subsemigroup, ∈∨ qkδ -level subsemigroup/bi-ideal, (∈, ∈∨ qkδ )-fuzzy (generalized) bi-ideal, δ-lower (δ-upper) approximation of fuzzy set, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup, Neutrosophic N -structure, neutrosophic N -subsemigroup, ε-neutrosophic N -subsemigroup, and neutrosophic N -product.

Smarandache Fuzzy Algebra

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233748
Total Pages : 455 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Fuzzy Algebra by : W. B. Vasantha Kandasamy

Download or read book Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.In any human field, a Smarandache n-structure on a set S means a weak structure {w(0)} on S such that there exists a chain of proper subsets P(n-1) in P(n-2) in?in P(2) in P(1) in S whose corresponding structures verify the chain {w(n-1)} includes {w(n-2)} includes? includes {w(2)} includes {w(1)} includes {w(0)}, where 'includes' signifies 'strictly stronger' (i.e., structure satisfying more axioms).This book is referring to a Smarandache 2-algebraic structure (two levels only of structures in algebra) on a set S, i.e. a weak structure {w(0)} on S such that there exists a proper subset P of S, which is embedded with a stronger structure {w(1)}. Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-ring, and binear-rings are presented in the second part of this book together with examples, solved and unsolved problems, and theorems. Also, applications of Smarandache groupoids, near-rings, and semirings in automaton theory, in error correcting codes, and in the construction of S-sub-biautomaton can be found in the last chapter.

Neutrosophic Set Approach for Characterizations of Left Almost Semigroups

Author : Madad Khan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set Approach for Characterizations of Left Almost Semigroups by : Madad Khan

Download or read book Neutrosophic Set Approach for Characterizations of Left Almost Semigroups written by Madad Khan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them.

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Author : Broumi, Said
Publisher : IGI Global
ISBN 13 : 179987981X
Total Pages : 944 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Advances and Applications of Fuzzy Sets and Logic by : Broumi, Said

Download or read book Handbook of Research on Advances and Applications of Fuzzy Sets and Logic written by Broumi, Said and published by IGI Global. This book was released on 2022-03-04 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Fuzzy Abel Grassmann Groupoids

Author : Madad Khan
Publisher : Infinite Study
ISBN 13 : 1599733390
Total Pages : 84 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Fuzzy Abel Grassmann Groupoids by : Madad Khan

Download or read book Fuzzy Abel Grassmann Groupoids written by Madad Khan and published by Infinite Study. This book was released on 2015-01-15 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Author : Jana, Chiranjibe
Publisher : IGI Global
ISBN 13 : 1799801926
Total Pages : 439 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by : Jana, Chiranjibe

Download or read book Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures written by Jana, Chiranjibe and published by IGI Global. This book was released on 2019-10-25 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.

Semigroups, Algebras and Operator Theory

Author : P G Romeo
Publisher : Springer
ISBN 13 : 8132224884
Total Pages : 218 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Semigroups, Algebras and Operator Theory by : P G Romeo

Download or read book Semigroups, Algebras and Operator Theory written by P G Romeo and published by Springer. This book was released on 2015-07-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory. All contributing authors are eminent researchers in their respective fields, from across the world. Their papers, presented at the 2014 International Conference on Semigroups, Algebras and Operator Theory in Cochin, India, focus on recent developments in semigroup theory and operator algebras. They highlight current research activities on the structure theory of semigroups as well as the role of semigroup theoretic approaches to other areas such as rings and algebras. The deliberations and discussions at the conference point to future research directions in these areas. This book presents 16 unpublished, high-quality and peer-reviewed research papers on areas such as structure theory of semigroups, decidability vs. undecidability of word problems, regular von Neumann algebras, operator theory and operator approximations. Interested researchers will find several avenues for exploring the connections between semigroup theory and the theory of operator algebras.

Algebra and its Applications

Author : Syed Tariq Rizvi
Publisher : Springer
ISBN 13 : 9811016518
Total Pages : 430 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Algebra and its Applications by : Syed Tariq Rizvi

Download or read book Algebra and its Applications written by Syed Tariq Rizvi and published by Springer. This book was released on 2016-11-18 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments and the latest research in algebra and related topics. The book allows aspiring researchers to update their understanding of prime rings, generalized derivations, generalized semiderivations, regular semigroups, completely simple semigroups, module hulls, injective hulls, Baer modules, extending modules, local cohomology modules, orthogonal lattices, Banach algebras, multilinear polynomials, fuzzy ideals, Laurent power series, and Hilbert functions. All the contributing authors are leading international academicians and researchers in their respective fields. Most of the papers were presented at the international conference on Algebra and its Applications (ICAA-2014), held at Aligarh Muslim University, India, from December 15–17, 2014. The book also includes papers from mathematicians who couldn't attend the conference. The conference has emerged as a powerful forum offering researchers a venue to meet and discuss advances in algebra and its applications, inspiring further research directions.

Neutrosophic N-structures and their applications in semigroups

Author : Madad Khan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic N-structures and their applications in semigroups by : Madad Khan

Download or read book Neutrosophic N-structures and their applications in semigroups written by Madad Khan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of neutrosophic N-structure is introduced, and applied it to semigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated.

Fuzzy Mathematics

Author : Etienne E. Kerre
Publisher : MDPI
ISBN 13 : 303897322X
Total Pages : 287 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Fuzzy Mathematics by : Etienne E. Kerre

Download or read book Fuzzy Mathematics written by Etienne E. Kerre and published by MDPI. This book was released on 2018-11-28 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics

Fuzzy Information & Engineering and Operations Research & Management

Author : Bing-Yuan Cao
Publisher : Springer Science & Business Media
ISBN 13 : 3642386679
Total Pages : 570 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Fuzzy Information & Engineering and Operations Research & Management by : Bing-Yuan Cao

Download or read book Fuzzy Information & Engineering and Operations Research & Management written by Bing-Yuan Cao and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Information & Engineering and Operations Research & Management is the monograph from submissions by the 6th International Conference on Fuzzy Information and Engineering (ICFIE2012, Iran) and by the 6th academic conference from Fuzzy Information Engineering Branch of Operation Research Society of China (FIEBORSC2012, Shenzhen,China). It is published by Advances in Intelligent and Soft Computing (AISC). We have received more than 300 submissions. Each paper of it has undergone a rigorous review process. Only high-quality papers are included in it containing papers as follows: I Programming and Optimization. II Lattice and Measures. III Algebras and Equation. IV Forecasting, Clustering and Recognition. V Systems and Algorithm. VI Graph and Network. VII Others.

NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS

Author : K. PORSELVI
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS by : K. PORSELVI

Download or read book NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS written by K. PORSELVI and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of neutrosophic N -bi-ideal structure over a semigroup. We characterize semigroups, regular semigroups and intra-regular semigroups in terms of neutrosophic N -bi-ideal structures. We also show that the intersection of neutrosophic N -ideals and the neutrosophic N -product of ideals will coincide for a regular semigroup.

Neutrosophic Sets and Systems, vol. 51/2022

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Weighted and Fuzzy Graph Theory

Author : Sunil Mathew
Publisher : Springer Nature
ISBN 13 : 3031397568
Total Pages : 226 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Weighted and Fuzzy Graph Theory by : Sunil Mathew

Download or read book Weighted and Fuzzy Graph Theory written by Sunil Mathew and published by Springer Nature. This book was released on 2023-08-20 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

Author : Said Melliani
Publisher : Springer Nature
ISBN 13 : 3030539296
Total Pages : 285 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics by : Said Melliani

Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics written by Said Melliani and published by Springer Nature. This book was released on 2020-10-12 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.

Collected Papers. Volume XIII

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 999 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume XIII by : Florentin Smarandache

Download or read book Collected Papers. Volume XIII written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-15 with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; Plithogeny; Information Fusion; Statistics; Decision Making; Extenics; Instantaneous Physics; Paradoxism; Mathematica; Miscellanea), comprising 965 pages, published between 2005-2022 in different scientific journals, by the author alone or in collaboration with the following 110 co-authors (alphabetically ordered) from 26 countries: Abduallah Gamal, Sania Afzal, Firoz Ahmad, Muhammad Akram, Sheriful Alam, Ali Hamza, Ali H. M. Al-Obaidi, Madeleine Al-Tahan, Assia Bakali, Atiqe Ur Rahman, Sukanto Bhattacharya, Bilal Hadjadji, Robert N. Boyd, Willem K.M. Brauers, Umit Cali, Youcef Chibani, Victor Christianto, Chunxin Bo, Shyamal Dalapati, Mario Dalcín, Arup Kumar Das, Elham Davneshvar, Bijan Davvaz, Irfan Deli, Muhammet Deveci, Mamouni Dhar, R. Dhavaseelan, Balasubramanian Elavarasan, Sara Farooq, Haipeng Wang, Ugur Halden, Le Hoang Son, Hongnian Yu, Qays Hatem Imran, Mayas Ismail, Saeid Jafari, Jun Ye, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Abdullah Kargın, Vasilios N. Katsikis, Nour Eldeen M. Khalifa, Madad Khan, M. Khoshnevisan, Tapan Kumar Roy, Pinaki Majumdar, Sreepurna Malakar, Masoud Ghods, Minghao Hu, Mingming Chen, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohamed Loey, Mihnea Alexandru Moisescu, Muhammad Ihsan, Muhammad Saeed, Muhammad Shabir, Mumtaz Ali, Muzzamal Sitara, Nassim Abbas, Munazza Naz, Giorgio Nordo, Mani Parimala, Ion Pătrașcu, Gabrijela Popović, K. Porselvi, Surapati Pramanik, D. Preethi, Qiang Guo, Riad K. Al-Hamido, Zahra Rostami, Said Broumi, Saima Anis, Muzafer Saračević, Ganeshsree Selvachandran, Selvaraj Ganesan, Shammya Shananda Saha, Marayanagaraj Shanmugapriya, Songtao Shao, Sori Tjandrah Simbolon, Florentin Smarandache, Predrag S. Stanimirović, Dragiša Stanujkić, Raman Sundareswaran, Mehmet Șahin, Ovidiu-Ilie Șandru, Abdulkadir Șengür, Mohamed Talea, Ferhat Taș, Selçuk Topal, Alptekin Ulutaș, Ramalingam Udhayakumar, Yunita Umniyati, J. Vimala, Luige Vlădăreanu, Ştefan Vlăduţescu, Yaman Akbulut, Yanhui Guo, Yong Deng, You He, Young Bae Jun, Wangtao Yuan, Rong Xia, Xiaohong Zhang, Edmundas Kazimieras Zavadskas, Zayen Azzouz Omar, Xiaohong Zhang, Zhirou Ma.