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New Distance Measure of Single-Valued Neutrosophic Sets and Its Application
TLDR
In this paper, a distance measure between two neutrosophic sets is defined by the full consideration of truthmembership function, indeterminacy membership function and falsity-membership functions for the forward and backward differences.Abstract:
A single-valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which can be used to handle uncertainty, imprecise, indeterminate, and inconsistent information in real life. In this paper, a new distance measure between two SVNSs is defined by the full consideration of truthmembership function, indeterminacy-membership function, and falsity-membership function for the forward and backward differences.read more
Citations
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Journal ArticleDOI
Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function
Xindong Peng,Jingguo Dai +1 more
TL;DR: A new axiomatic definition of single-valued neutrosophic distance measure and similarity measure is initiated, which is expressed by single- valued neutrosophile number that will reduce the information loss and remain more original information.
Journal ArticleDOI
A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017
Xindong Peng,Jingguo Dai +1 more
TL;DR: An overview on neutrosophic set is presented with the aim of offering a clear perspective on the different concepts, tools and trends related to their extensions and indicates that some developing economics (such as China, India, Turkey) are quite active in neutrosophile set research.
Posted Content
Algorithms for Neutrosophic Soft Decision Making Based on Edas, New Similarity Measure and Level Soft Set
Xindong Peng,Chong Liu +1 more
TL;DR: In this paper, a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by singlevalued neutroophic number (SVNN) was introduced, and the objective weights of various parameters were determined via grey system theory.
Journal ArticleDOI
A novel interval-valued neutrosophic AHP with cosine similarity measure
Eda Boltürk,Cengiz Kahraman +1 more
TL;DR: A new Analytic Hierarchy Process (AHP) method with interval-valued neutrosophic sets based on cosine similarity measures is introduced and an application is given in energy alternative selection to illustrate the developed approaches.
Journal ArticleDOI
A Linguistic Neutrosophic Multi-criteria Group Decision-Making Approach with EDAS Method
TL;DR: This study develops an approach that incorporates power aggregation operators with the evaluation based on distance from average solution (EDAS) method under linguistic neutrosophic situations to solve fuzzy multi-criteria group decision-making problems.
References
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