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Rough Neutrosophic Sets
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Book Synopsis Rough Neutrosophic Sets by : Said Broumi
Download or read book Rough Neutrosophic Sets written by Said Broumi and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.
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 About Rough Neutrosophic Soft Sets Theory and Study Their Properties by : Somen Debnath
Download or read book About Rough Neutrosophic Soft Sets Theory and Study Their Properties written by Somen Debnath and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earlier fuzzy set, vague set, intuitionistic fuzzy set, L-fuzzy set etc are used as a mathematical tools for solving problems based on uncertainties or ambiguous in nature. But due to more complexity involves in problems exist in nature, traditional tools are unable to handle those in a systematic manner. So we need a tool which is more flexible to handle those problems. Which leads to the invention of soft set which was introduced by Molodtsov in 1999. Soft set (SS) theory is a mathematical tool deals with parametric data which are imprecise in nature. Ithis a generalization of fuzzy set theory. On the other hand Rough set (RS) theory and Neutrosophic set (NS) theory both rising as a powerful tool to handle these uncertain, incomplete, inconsistent and imprecise information in an effective manner. Actually Neutrosophic set is a generalization of intuitionistic fuzzy set. Sometimes it is not possible to handle all sorts of uncertain problems with a single mathematical tool. Fusion of two or more mathematical tools give rise to a new mathematical concept which gives an idea how to solve such type of problems in a more sophisticated ways. Which leads to the introduction of fuzzy soft set, rough soft set, intuitionistic fuzzy soft set, soft rough set etc. Neutrosophic soft set (NSS) was established by combining the concept of Soft set and Neutrosophic set. In this paper, using the concept of Rough set and Neutrosophic soft set a new concept known as Rough neutrosophic soft set (RNSS) is developed. Some properties and operations on them are introduced.
Book Synopsis Soft Interval –Valued Neutrosophic Rough Sets by : Said Broumi
Download or read book Soft Interval –Valued Neutrosophic Rough Sets written by Said Broumi and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first defined soft interval- valued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties.
Book Synopsis Rough neutrosophic set in a lattice by : I Arockiarani
Download or read book Rough neutrosophic set in a lattice written by I Arockiarani and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we examine the relationship between rough fuzzy neutrosophic sets and lattice theory. We introduce the notion of Rough fuzzy neutrosophic set and Rough fuzzy neutrosophic lattice (resp Rough fuzzy neutrosophic ideals).
Book Synopsis Rough Neutrosophic Digraphs with Application by : Sidra Sayed
Download or read book Rough Neutrosophic Digraphs with Application written by Sidra Sayed and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rough neutrosophic set model is a hybrid model which deals with vagueness by using the lower and upper approximation spaces. In this research paper, we apply the concept of rough neutrosophic sets to graphs. We introduce rough neutrosophic digraphs and describe methods of their construction. Moreover, we present the concept of self complementary rough neutrosophic digraphs. Finally, we consider an application of rough neutrosophic digraphs in decision-making.
Book Synopsis Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis by : A. Edward Samuel
Download or read book Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis written by A. Edward Samuel and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the study is to find out the relationship between the disease and the symptoms seen with the patient and diagnose the disease that impacted the patient using rough neutrosophic set. Neoteric method [PI-distance] is devised in rough neutrosophic set. Utilization of medical diagnosis is commenced with using prescribed procedures to identify a person suffering from the disease for a considerable period. The result showed that the proposed method is free from shortcomings that affect the existing methods and found to be more accurate in diagnosing the diseases.
Book Synopsis Utilization of Rough Neutrosophic Sets in Medical Diagnosis by : Edward Samuel
Download or read book Utilization of Rough Neutrosophic Sets in Medical Diagnosis written by Edward Samuel and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rough neutrosophic set is an essential tool for dealing with uncertainties and shortcomings that affect the existing methods.In this paper, a new method (order function)is proposed and some of its properties are discussed herein. Execution of medicaldiagnosis is presented to find out the disease impacting the patient.
Book Synopsis Neutrosophic Sets in Decision Analysis and Operations Research by : Abdel-Basset, Mohamed
Download or read book Neutrosophic Sets in Decision Analysis and Operations Research written by Abdel-Basset, Mohamed and published by IGI Global. This book was released on 2019-12-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.
Book Synopsis ROUGH NEUTROSOPHIC SOFT SETS by : Somen Debnath
Download or read book ROUGH NEUTROSOPHIC SOFT SETS written by Somen Debnath and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft set(SS) theory is a mathematical tool deals with parametric data which are imprecise in nature.It is a generalization of fuzzy set theory. On the other hand Rough set(RS) theory and Neutrosophic set (NS)theory both rising as powerful tool to handle uncertain, incomplete, inconsistent and imprecise information in an effective manner.Actually Neutrosophic set is a generalization of intuitionistic fuzzy set.Earlier Neutrosophic soft set(NSS) was established by combining the concept of Soft set and Neutrosophic set .In this paper , using the concept of Rough set,Neutrosophic set and soft set a hybrid structure Rough neutrosophic soft sets(RNSS) is developed.Some properties and operations on RNSS are introduced.
Book Synopsis Neutrosophic soft set by : Pabitra Kumar Maji
Download or read book Neutrosophic soft set written by Pabitra Kumar Maji and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and defined neutrosophic soft set. Some definitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.
Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 166 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.
Book Synopsis Neutrosophic Sets and Systems, vol. 13/2016 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, vol. 13/2016 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 129 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.
Book Synopsis Neutrosophic Sets and Systems, Vol. VIII by : Florentin Smarandache, Mumtaz Ali
Download or read book Neutrosophic Sets and Systems, Vol. VIII written by Florentin Smarandache, Mumtaz Ali and published by Infinite Study. This book was released on 2015-04-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of ten papers by contributors F. Smarandache, F. Yuhua, K. Mondal, S. Pramanik, S. Broumi, J. Ye, A. A. Salama,, N. Easa, S. A. Elhafez, M. M. Lotfy, L. Kong, Y. Wu, P. Biswas, B. C. Giri, A. Mukkerjee, and S. Sarkar, focusing on a new kind of algebraic structures called (T, I, F)- Neutrosophic Structures; Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Methods; Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function; an Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variable; Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic System; Fault Diagnosis Method of Gasoline Engines Using the Cosine Similarity Measure of Neutrosophic Numbers; Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers; Thesis-Antithesis-Neutrothesis, and Neutrosynthesis; Negating Four Color Theorem with Neutrosophy and Quadstage Method; and A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems.
Book Synopsis Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis by : Surapati Pramanik
Download or read book Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis written by Surapati Pramanik and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define a rough cosine similarity measure between two rough neutrosophic sets. The notions of rough neutrosophic sets (RNS) will be used as vector representations in 3D-vector space. The rating of all elements in RNS is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree. A numerical example of the medical diagnosis is provided to show the effectiveness and flexibility of the proposed method.
Book Synopsis Neutrosophic Sets and Systems by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 143 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.
Book Synopsis Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems by : Nguyen Xuan Thao
Download or read book Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems written by Nguyen Xuan Thao and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rough fuzzy set is the result of the approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems. In this paper, we introduce the concepts of rough standard neutrosophic sets and standard neutrosophic information system, and give some results of the knowledge discovery on standard neutrosophic information system based on rough standard neutrosophic sets.
