An efficient ranking technique for intuitionistic fuzzy numbers with its application in chance constrained bilevel programming
type: Item
instance of: scholarly article
title: An efficient ranking technique for intuitionistic fuzzy numbers with its application in chance constrained bilevel programming
zbMATH Open document ID: 1390.91100
DOI: 10.1155/2016/6475403
author: Animesh Biswas
author: Arnab Kumar De
published in: Advances in Fuzzy Systems
publication date: 2018-05-18T00:00:00Z
review text: Summary: The aim of this paper is to develop a new ranking technique for intuitionistic fuzzy numbers using the method of defuzzification based on probability density function of the corresponding membership function, as well as the complement of nonmembership function. Using the proposed ranking technique a methodology for solving linear bilevel fuzzy stochastic programming problem involving normal intuitionistic fuzzy numbers is developed. In the solution process each objective is solved independently to set the individual goal value of the objectives of the decision makers and thereby constructing fuzzy membership goal of the objectives of each decision maker. Finally, a fuzzy goal programming approach is considered to achieve the highest membership degree to the extent possible of each of the membership goals of the decision makers in the decision making context. Illustrative numerical examples are provided to demonstrate the applicability of the proposed methodology and the achieved results are compared with existing techniques.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 6870155
Wikidata QID: Q59121720
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6475403
OpenAlex ID: W2342725501
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DBLP publication ID: journals/afs/BiswasD16
description: scientific article; zbMATH DE number 6870155