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New Similarity Measures Of Simplified Neutrosophic Sets And Their Applications
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Book Synopsis New Similarity Measures of Simplified Neutrosophic Sets and Their Applications by : Chunfang Liu
Download or read book New Similarity Measures of Simplified Neutrosophic Sets and Their Applications written by Chunfang Liu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simplified neutrosophic set (SNS) is a generalization of fuzzy set that is designed for some practical situations in which each element has truth membership function, indeterminacy membership function and falsity membership function.
Book Synopsis VECTOR SIMILARITY MEASURES FOR SIMPLIFIED NEUTROSOPHIC HESITANT FUZZY SET AND THEIR APPLICATIONS by : TAHIR MAHMOOD
Download or read book VECTOR SIMILARITY MEASURES FOR SIMPLIFIED NEUTROSOPHIC HESITANT FUZZY SET AND THEIR APPLICATIONS written by TAHIR MAHMOOD and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article we present three similarity measures between simplified neutrosophic hesitant fuzzy sets, which contain the concept of single valued neutrosophic hesitant fuzzy sets and interval valued neutrosophic hesitant fuzzy sets, based on the extension of Jaccard similarity measure, Dice similarity measure and Cosine similarity in the vector space.
Book Synopsis Vector Similarity Measures of Simplified Neutrosophic Sets and Their Application in Multicriteria Decision Making by : Jun Ye
Download or read book Vector Similarity Measures of Simplified Neutrosophic Sets and Their Application in Multicriteria Decision Making written by Jun Ye and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set is a powerful general formal framework, which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, and interval-valued intuitionistic fuzzy set from philosophical point of view.
Book Synopsis VECTOR SIMILARITY MEASURES FOR SIMPLIFIED NEUTROSOPHIC HESITANT FUZZY SET AND THEIR APPLICATIONS by : TAHIR MAHMOOD
Download or read book VECTOR SIMILARITY MEASURES FOR SIMPLIFIED NEUTROSOPHIC HESITANT FUZZY SET AND THEIR APPLICATIONS written by TAHIR MAHMOOD and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article we present three similarity measures between simplified neutrosophic hesitant fuzzy sets, which contain the concept of single valued neutrosophic hesitant fuzzy sets and interval valued neutrosophic hesitant fuzzy sets, based on the extension of Jaccard similarity measure, Dice similarity measure and Cosine similarity in the vector space.
Book Synopsis Vector Similarity Measures between Refined Simplified Neutrosophic Sets and Their Multiple Attribute Decision-Making Method by : Jiqian Chen
Download or read book Vector Similarity Measures between Refined Simplified Neutrosophic Sets and Their Multiple Attribute Decision-Making Method written by Jiqian Chen and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A refined single-valued/interval neutrosophic set is very suitable for the expression and application of decision-making problems with both attributes and sub-attributes since it is described by its refined truth, indeterminacy, and falsity degrees.
Book Synopsis Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems by : Juan-juan Peng
Download or read book Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems written by Juan-juan Peng and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.
Book Synopsis New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation by : XINDONG PENG
Download or read book New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation written by XINDONG PENG and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the epoch of Internet of Things (IoT), we are confronted five challenges (Connectivity, Value, Security, Telepresence and Intelligence) with complex structures. IoT industry decision making is critically important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly accelerate industrialized and large-scale development. In the case of IoT industry decision evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity and incertitude. Interval neutrosophic set (INS), disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F with interval form, is a more viable and effective means to seize indeterminacy.
Book Synopsis Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision Making by : U. Solang
Download or read book Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision Making written by U. Solang and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Refined simplified neutrosophic sets (RSNSs) are appropriately used in decision-making problems with sub-attributes considering their truth components, indeterminacy components and falsity components independently. This paper presents the similarity measures of RSNSs based on tangent and cotangent functions. When the weights of each element/attribute and each sub-element/sub-attribute in RSNSs are considered according to their importance, we propose the weighted similarity measures of RSNSs and their multiple attribute decision-making (MADM) method with RSNS information. In the MADM process, the developed method gives the ranking order and the best selection of alternatives by getting the weighted similarity measure values between alternatives and the ideal solution according to the given attribute weights and sub-attribute weights. Then, an illustrative MADM example in a construction project with RSNS information is presented to show the effectiveness and feasibility of the proposed MADM method under RSNS environments. This study extends existing methods and provides a new way for the refined simplified neutrosophic MADM problems containing both the attribute weight and the sub-attribute weights.
Book Synopsis A New Hybrid Distance-Based Similarity Measure for Refined Neutrosophic Sets and its Application in Medical Diagnosis by : Vakkas Ulucay
Download or read book A New Hybrid Distance-Based Similarity Measure for Refined Neutrosophic Sets and its Application in Medical Diagnosis written by Vakkas Ulucay and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to introduce a new distance-based similarity measure for refined neutrosophic sets. The properties of the proposed new distance-based similarity measure have been studied and the findings are applied in medical diagnosis of some diseases with a common set of symptoms.
Book Synopsis Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making by : U. Solang
Download or read book Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making written by U. Solang and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study extends existing methods and provides a new way for the refined simplified neutrosophic MADM problems containing both the attribute weight and the sub-attribute weights.
Book Synopsis Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications by : Qaisar Khan
Download or read book Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications written by Qaisar Khan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic sets (NSs) are used to illustrate uncertain, inconsistent, and indeterminate information existing in real-world problems. Double-valued neutrosophic sets (DVNSs) are an alternate form of NSs, in which the indeterminacy has two distinct parts: indeterminacy leaning toward truth membership, and indeterminacy leaning toward falsity membership. The aim of this article is to propose novel Dice measures and generalized Dice measures for DVNSs, and to specify Dice measures and asymmetric measures (projection measures) as special cases of generalized Dice measures via specific parameter values. Finally, the proposed generalized Dice measures and generalized weighted Dice measures were applied to pattern recognition and medical diagnosis to show their effectiveness.
Book Synopsis Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set by : Xindong Peng
Download or read book Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set written by Xindong Peng and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information.
Book Synopsis New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making by : Han Yang
Download or read book New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making written by Han Yang and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different.
Book Synopsis A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set by : Jason Chih-sheng Chou
Download or read book A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set written by Jason Chih-sheng Chou and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing the concept and function of tangency with similarity measures and counterpart distances for reliable medical consultations has been extensively studied in the past decades and results in lots of isomorphic measures for application. We compared the majority of such isomorphic measures proposed by various researchers and classified them into (a) maximum norm and (b) one-norm categories. Moreover, we found that previous researchers used monotonic functions to transform an identity function and resulted in complicated expressions. In this study, we provide a theoretical foundation to explain the isomorphic nature of a newer measure proposed by the following research paper against its studied existing one in deriving the same pattern recognition results. Specifically, this study initially proposes two similarity measures using maximum norm, arithmetic mean, and aggregation operators and followed by a detailed discussion on their mathematical characteristics. Subsequently, a simplified version of such measures is presented for easy application. This study completely covers two previous methods to point out that the complex approaches used were unnecessary. The findings will help physicians, patients, and their family members to obtain a proper medical diagnosis during multiple examinations.
Book Synopsis Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments by : Kalyan Mondal
Download or read book Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments written by Kalyan Mondal and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single valued neutrosophic set is an important mathematical tool for tackling uncertainty in scientific and engineering problems because it can handle situation involving indeterminacy. In this research, we introduce new similarity measures for single valued neutrosophic sets based on binary logarithm function.
Book Synopsis Neutrosophic Sets and Systems, book series, Vol. 9, 2015 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, book series, Vol. 9, 2015 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: This volume is a collection of fourteen papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, K. Mandal, K. Basu, S. Pramanik, K. Mondal, S. Alkhazaleh, J. Nescolarde-Selva, J. L. Usó-Doménech, A. Betancourt-Vázquez, K. Pérez-Teruel, M. Leyva-Vázquez, A. Aydoğdu, I. Arockiarani, C. A. C. Sweety, F. Smarandache, L. Zhengda, S. Kar, S. Mukherjee, P. Das, and T. K. Kumar. In first paper, the author studied Interpreting and Expanding Confucius' Golden Mean through Neutrosophic Tetrad. Hypercomplex Neutrosophic Similarity Measure & Its Application In Multicriteria Decision Making Problem is discussed in the second paper. Interval Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis are studied in third paper. In fourth paper, More on Neutrosophic Norms and Conorms. Similarly in fifth paper, Ideological systems and its validation: a neutrosophic approach is discussed. In paper six, Modeling and analyzing non-functional requirements interdependencies with neutrosophic logic is studied by the author. On Entropy and Similarity Measure Interval Valued Neutrosophic Sets given in seventh paper. Topological structures of fuzzy neutrosophic rough sets are proposed in the next paper. Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies in the next paper. Further, Neutrosophic Decision Making Model for Clay-Brick Selection in Construction Field Based on Grey Relational Analysis is discussed by the authors in the tenth paper. In eleventh paper, Neutrosophy-based Interpretation of Four Mechanical Worldviews have been studied by the author. In the next paper, Application of Neutrosophic Set Theory in Generalized Assignment Problem is studied. In thirteenth paper, Tangent Similarity Measure and its application to multiple attribute decision making is discussed. At the end, Multiobjective non-linear programming problem based on Neutrosophic Optimization Technique and its application in Riser Design Problem are introduced by the authors. Keywords: neutrosophy, neutrosophic set theory, Confucius' golden mean, neutrosophic tetrad, similarity measure interval valued neutrosophic sets, neutrosophic decision making model, neutrosophic optimization technique.
Book Synopsis A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making by : Wen Jiang
Download or read book A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making written by Wen Jiang and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems.
