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Neutrosophic Sets In Up Algebras By Means Of Interval Valued Fuzzy Sets
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Book Synopsis NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS by : Metawee Songsaeng
Download or read book NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP-ideals) of UP-algebras, proved some results, and their generalizations. Furthermore, we discuss the relations between interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP- ideals) and their level subsets.
Book Synopsis Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets by : Florentin Smarandache
Download or read book Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In approximation theory, neutrosophic set and logic show an important role. They are generalizations of intuitionistic fuzzy set and logic respectively. Based on neutrosophy, which is a new branch of philosophy, every idea X, has an opposite denoted as anti (X) and their neutral which is denoted as neut (X). These are the main features of neutrosophic set and logic. This chapter is based on the basic concepts of neutrosophic set as well as some of their hybrid structures. In this chapter, we define and study the notion of neutrosophic set and their basic properties. Moreover, interval-valued neutrosophic set are studied with some of their properties. Finally, we define rough neutrosophic sets.
Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 3, 2020 by : Broumi Said
Download or read book International Journal of Neutrosophic Science (IJNS) Volume 3, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.
Book Synopsis Some New Operations of (a, β, g) Interval Cut Set of Interval Valued Neutrosophic Sets by : Mehmet Şahin
Download or read book Some New Operations of (a, β, g) Interval Cut Set of Interval Valued Neutrosophic Sets written by Mehmet Şahin and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define the disjunctive sum, difference and Cartesian product of two interval valued neutrosophic sets and study their basic properties. The notions of the (a, β, g) interval cut set of interval valued neutrosophic sets and the (a, β, g) strong interval cut set of interval valued neutrosophic sets are put forward. Some related properties have been established with proof, examples and counter examples.
Book Synopsis Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems by : Hong-yu Zhang
Download or read book Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems written by Hong-yu Zhang and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number.However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decisionmakingmethod. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, amethod formulticriteria decisionmaking problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method.
Book Synopsis NEUTROSOPHIC SET – A GENERALIZATION OF THE INTUITIONISTIC FUZZY SET by : Florentin SMARANDACHE
Download or read book NEUTROSOPHIC SET – A GENERALIZATION OF THE INTUITIONISTIC FUZZY SET written by Florentin SMARANDACHE and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Book Synopsis Some New Operations of (𝜶, 𝜷, 𝜸) Interval Cut Set of Interval Valued Neutrosophic Sets by : Mehmet Şahin
Download or read book Some New Operations of (𝜶, 𝜷, 𝜸) Interval Cut Set of Interval Valued Neutrosophic Sets written by Mehmet Şahin and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define the disjunctive sum, difference and Cartesian product of two interval valued neutrosophic sets and study their basic properties.
Book Synopsis INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH by : SUDHAKAR.V.J.
Download or read book INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH written by SUDHAKAR.V.J. and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophicsets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to the graph theory. We introduce certain types of interval valued signed neutrosophc graphs (IVNG) and investigate some of their properties with proof and example.
Book Synopsis Single Valued Neutrosophic Sets by : Haibin Wang
Download or read book Single Valued Neutrosophic Sets written by Haibin Wang and published by Infinite Study. This book was released on 2010-01-01 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the settheoretic operators on an instance of neutrosophic set, we call it single valued neutrosophic set (SVNS). We provide various properties of SVNS, which are connected to the operations and relations over SVNS.
Book Synopsis Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making by : Mumtaz Ali
Download or read book Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set is a powerful general formal framework which generalizes the concepts of classic set, fuzzy set, interval-valued fuzzy set, intuitionistic fuzzy set, etc. Recent studies have developed systems with complex fuzzy sets, for better designing and modeling real-life applications.
Book Synopsis Interval Valued Trapezoidal Neutrosophic Set for Prioritization of Non-functional Requirements by : Kiran Khatter
Download or read book Interval Valued Trapezoidal Neutrosophic Set for Prioritization of Non-functional Requirements written by Kiran Khatter and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws; and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the combination of IVIFN and TrNS, an Interval Valued Trapezoidal Neutrosophic Set (IVTrNS) is proposed followed by its operational laws. The paper also presents the score and accuracy functions for the proposed Interval Valued Trapezoidal Neutrosophic Number (IVTrNN). Then, an interval valued trapezoidal neutrosophic weighted arithmetic averaging (IVTrNWAA) operator is introduced to combine the trapezoidal information which is neutrosophic and in the unit interval of real numbers. Finally, a method is developed to handle the problems in the multi attribute decision making(MADM) environment using IVTrNWAA operator followed by a numerical example of NFRs prioritization to illustrate the relevance of the developed method.
Book Synopsis Interval , Double-valued Neutrosophic Intuitionistic Fuzzy Graph by : K. Kalaiarasi
Download or read book Interval , Double-valued Neutrosophic Intuitionistic Fuzzy Graph written by K. Kalaiarasi and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of interval, double-valued neutrosophic intuitionistic fuzzy sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets. We apply the concept of interval, double-valued neutrosophic intuitionistic fuzzy sets an instance of neutrosophic intuitionistic fuzzy sets, to graphs. We introduce certain types of strong interval ,double-valued neutrosophic intuitionistic fuzzy graphs and investigate some of their properties with proofs and examples.
Book Synopsis Interval Valued Neutrosophic Graphs by : Said Broumi
Download or read book Interval Valued Neutrosophic Graphs written by Said Broumi and published by Infinite Study. This book was released on with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophic sets. We apply for the first time to graph theory the concept of interval valued neutrosophic sets, an instance of neutrosophic sets. We introduce certain types of interval valued neutrosophc graphs (IVNG) and investigate some of their properties with proofs and examples.
Book Synopsis Introduction to Interval-valued Neutrosophic Subring by : Sudipta Gayen
Download or read book Introduction to Interval-valued Neutrosophic Subring written by Sudipta Gayen and published by Infinite Study. This book was released on 2020-10-01 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this article is to develop and study the notion of interval-valued neutrosophic subring. Also, we have studied some homomorphic characteristics of interval-valued neutrosophic subring. Again, we have defined the concept of product of two interval-valued neutrosophic subrings and analyzed some of its important properties. Furthermore, we have developed the notion of interval-valued neutrosophic normal subring and studied some of its basic characteristics and homomorphic properties.
Book Synopsis Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making by : Said Broumi
Download or read book Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making written by Said Broumi 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 work, we present definition of interval valued neutrosophic parameterized (IVNP-)soft set and its operations. Then we define parameter reduction method for IVNP-soft set.We also give an example which shows that they can be successfully applied to problem that contains indeterminacy.
Book Synopsis Neutrosophic Set Theory Applied to UP-Algebras by : Metawee Songsaeng
Download or read book Neutrosophic Set Theory Applied to UP-Algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.
Book Synopsis A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number by : Hamiden Abd El-Wahed Khalifa
Download or read book A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number written by Hamiden Abd El-Wahed Khalifa and published by Infinite Study. This book was released on 2020-10-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assignment problem (AP) is well- studied and important area in optimization. In this research manuscript, an assignment problem in neutrosophic environment, called as neutrosophic assignment problem (NAP), is introduced. The problem is proposed by using the interval-valued trapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of score function, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) is transformed to the corresponding an interval-valued AP. To optimize the objective function in interval form, we use the order relations. These relations are the representations of choices of decision maker. The maximization (or minimization) model with objective function in interval form is changed to multi- objective based on order relations introduced by the decision makers' preference in case of interval profits (or costs). In the last, we solve a numerical example to support the proposed solution methodology.
