A new approach to solve intuitionistic fuzzy optimization problem using possibility, necessity, and credibility measures
type: Item
instance of: scholarly article
title: A new approach to solve intuitionistic fuzzy optimization problem using possibility, necessity, and credibility measures
zbMATH Open document ID: 1392.90126
DOI: 10.1155/2014/593185
author: Dipankar Chakraborty
author: Dipak Kumar Jana
author: Tapan Kumar Roy
published in: International Journal of Engineering Mathematics
publication date: 2018-08-06T00:00:00Z
review text: Summary: Corresponding to chance constraints, real-life possibility, necessity, and credibility measures on intuitionistic fuzzy set are defined. For the first time the mathematical and graphical representations of different types of measures in trapezoidal intuitionistic fuzzy environment are defined in this paper. We have developed intuitionistic fuzzy chance constraints model (CCM) based on possibility and necessity measures. We have also proposed a new method for solving an intuitionistic fuzzy CCM using chance operators. To validate the proposed method, we have discussed three different approaches to solve the intuitionistic fuzzy linear programming (IFLPP) using possibility, necessity and credibility measures. Numerical and graphical representations of optimal solutions of the given example at different possibility and necessity, levels have been discussed.
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 6913838
Wikidata QID: Q59043798
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/593185
OpenAlex ID: W2144679215
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description: scientific article; zbMATH DE number 6913838