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Title: TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment

Abstract

The objective of this paper is to focus on multi-attribute decision-making for interval-valued intuitionistic fuzzy set environment based on set pair analysis (SPA). For it, the major component of the SPA known as connection number has been constructed based on the set pairs between two preference values consists of every attribute and ideal pairs of it. Based on these connection numbers, an extension of technique for order of preference by similarity to ideal solution method is developed by combining the proposed connection number for IVIFSs and hence finding the best alternative(s) using relative degree of closeness coefficient. An illustrative example has been given for demonstrating the approach and compares their performance with some existing measures.

Authors:
;  [1]
  1. Thapar University, School of Mathematics (India)
Publication Date:
OSTI Identifier:
22769345
Resource Type:
Journal Article
Journal Name:
Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 37; Journal Issue: 2; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; COMPARATIVE EVALUATIONS; DECISION MAKING; FUZZY LOGIC; MATHEMATICAL SOLUTIONS

Citation Formats

Kumar, Kamal, and Garg, Harish. TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. United States: N. p., 2018. Web. doi:10.1007/S40314-016-0402-0.
Kumar, Kamal, & Garg, Harish. TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. United States. doi:10.1007/S40314-016-0402-0.
Kumar, Kamal, and Garg, Harish. Tue . "TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment". United States. doi:10.1007/S40314-016-0402-0.
@article{osti_22769345,
title = {TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment},
author = {Kumar, Kamal and Garg, Harish},
abstractNote = {The objective of this paper is to focus on multi-attribute decision-making for interval-valued intuitionistic fuzzy set environment based on set pair analysis (SPA). For it, the major component of the SPA known as connection number has been constructed based on the set pairs between two preference values consists of every attribute and ideal pairs of it. Based on these connection numbers, an extension of technique for order of preference by similarity to ideal solution method is developed by combining the proposed connection number for IVIFSs and hence finding the best alternative(s) using relative degree of closeness coefficient. An illustrative example has been given for demonstrating the approach and compares their performance with some existing measures.},
doi = {10.1007/S40314-016-0402-0},
journal = {Computational and Applied Mathematics},
issn = {0101-8205},
number = 2,
volume = 37,
place = {United States},
year = {2018},
month = {5}
}