Calculation of the Unknown Criteria Weights Under the Neutrosophic TOPSIS and the Neutrosophic VIKOR MCGDM Problems

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Calculation of the Unknown Criteria Weights Under the Neutrosophic TOPSIS and the Neutrosophic VIKOR MCGDM Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calculation of the Unknown Criteria Weights Under the Neutrosophic TOPSIS and the Neutrosophic VIKOR MCGDM Problems write by Hagar G. Abu-Faty. This book was released on . Calculation of the Unknown Criteria Weights Under the Neutrosophic TOPSIS and the Neutrosophic VIKOR MCGDM Problems available in PDF, EPUB and Kindle. This paper presents three different proposed methods for determining the suitable criteria weights with the nature of being completely unknown or partially known. These weights are applied to the Neutrosophic TOPSIS and the Neutrosophic VIKOR separately for solving the Multi Criteria Group Decision Making (MCGDM) problems and ranking the alternatives. In the first proposed technique, the entropy weights method is used for calculating the completely unknown criteria weights. In the second proposed technique, the maximizing deviation method is concerned with the calculation of the criteria weights either completely unknown or partially known.

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

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Release : 2022-03-04
Genre : Mathematics
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Handbook of Research on Advances and Applications of Fuzzy Sets and Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Research on Advances and Applications of Fuzzy Sets and Logic write by Broumi, Said. This book was released on 2022-03-04. Handbook of Research on Advances and Applications of Fuzzy Sets and Logic available in PDF, EPUB and Kindle. 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.

Recent Developments in Algebra and Analysis

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Recent Developments in Algebra and Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Developments in Algebra and Analysis write by Ho-Hon Leung. This book was released on . Recent Developments in Algebra and Analysis available in PDF, EPUB and Kindle.

Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)

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Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS) write by Azeddine Elhassouny. This book was released on . Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS) available in PDF, EPUB and Kindle. Technique for order performance by similarity to ideal solution (TOPSIS) is a Multi-Criteria Decision- Making method (MCDM), that consists on handling real complex problems of decision-making. However, real MCDM problems are often involves imperfect information such as uncertainty and inconsistency. The imperfect information is often manipulated through Neutrosophics theory, using certain degree of truth (T), falsity degree (F) and indeterminacy degree(I). and thus single-valued neutrosophic set (SVNs) had prodded a strong capacity to model such complex information. To overcome that kind of problems, In this paper, first, the authors simplify the popular TOPSIS method to a lite TOPSIS (S-TOPSIS), that gives the same result as standard version. Second, mapping STOPSIS to Neutrosophics Environment, investigating SVNS, called nS-TOPSIS, to deal with imperfect information in the real decision-making problems. Numerical examples show the contributions of proposed S-TOPSIS method to get the same results with standard TOPSIS with simple way of calculus, and how Neutrosophic environment manage the uncertain information using SVN.

A Revisit to NC-VIKOR Based MAGDM Strategy in Neutrosophic Cubic Set Environment

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A Revisit to NC-VIKOR Based MAGDM Strategy in Neutrosophic Cubic Set Environment - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Revisit to NC-VIKOR Based MAGDM Strategy in Neutrosophic Cubic Set Environment write by Shyamal Dalapati. This book was released on . A Revisit to NC-VIKOR Based MAGDM Strategy in Neutrosophic Cubic Set Environment available in PDF, EPUB and Kindle. Multi attribute group decision making with VIKOR (VlseKriterijuska Optimizacija I Komoromisno Resenje) strategy has been widely applied to solving real-world problems. Recently, Pramianik et al. [S. Pramanik, S. Dalapati, S. Alam, and T. K. Roy. NCVIKOR based MAGDM strategy under neutrosophic cubic set environment, Neutrosophic Sets and Systems, 20 (2018), 95-108] proposed VIKOR strategy for solving MAGDM, where compromise solutions are not identified in neutrosophic cubic environment. To overcome the shortcomings of the paper, we further modify the VIKOR strategy by incorporating compromise solution in neutrosophic cubic set environment. Finally, we solve an MAGDM problem using the modified NC-VIKOR strategy to show the feasibility, applicability and effectiveness of the proposed strategy. Further, we present sensitivity analysis to show the impact of different values of the decision making mechanism coefficient on ranking order of the alternatives.