Vector Similarity Measures between Refined Simplified Neutrosophic Sets and Their Multiple Attribute Decision-Making Method PDF Download
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Author: Jiqian Chen Publisher: Infinite Study ISBN: Category : Languages : en Pages : 13
Book Description
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.
Author: Jiqian Chen Publisher: Infinite Study ISBN: Category : Languages : en Pages : 13
Book Description
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.
Author: U. Solang Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 12
Book Description
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.
Author: Jun Ye Publisher: Infinite Study ISBN: Category : Languages : en Pages : 8
Book Description
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.
Author: Surapati Pramanik Publisher: Infinite Study ISBN: Category : Languages : en Pages : 19
Book Description
This paper proposes hybrid vector similarity measures under single valued refined neutrosophic sets and proves some of its basic properties. The proposed similarity measure is then applied for solving multiple attribute decision making problems. Lastly, a numerical example of medical diagnosis is given on the basis of the proposed hybrid similarity measures and the results are compared with the results of other existing methods to validate the applicability, simplicity and effectiveness of the proposed method.
Author: TAHIR MAHMOOD Publisher: Infinite Study ISBN: Category : Languages : en Pages : 20
Book Description
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.
Author: FARUK KARAASLAN Publisher: Infinite Study ISBN: Category : Languages : en Pages : 15
Book Description
In this paper, we propose three similarity measure methods for single valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets.
Author: Chunfang Liu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 11
Book Description
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.
Author: Kalyan Mondal Publisher: Infinite Study ISBN: Category : Languages : en Pages : 15
Book Description
The purpose of this study is to propose new similarity measures namely rough variational coefficient similarity measure under the rough neutrosophic environment.
Author: Cengiz Kahraman Publisher: Springer ISBN: 3030000451 Category : Technology & Engineering Languages : en Pages : 734
Book Description
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
Author: Han Yang Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, some new similarity measures and entropies of INS are constructed. Finally, based on the new similarity and entropy, we propose a multi-attribute decision-making method and illustrate that these new similarities and entropies are reasonable and effective.
Author: Jiqian Chen 
Author: Jiqian Chen 
Author: U. Solang 
Author: Jun Ye 
Author: Surapati Pramanik
Author: TAHIR MAHMOOD
Author: FARUK KARAASLAN
Author: Chunfang Liu
Author: Kalyan Mondal
Author: Cengiz Kahraman
Author: Han Yang