LR-type fully Pythagorean fuzzy linear programming problems with equality constraints-Reference-Cited by-同舟云学术

LR-type fully Pythagorean fuzzy linear programming problems with equality constraints

Published:2021-08-11 Issue:1 Volume:41 Page:1975-1992
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Akram Muhammad¹,Ullah Inayat¹,Allahviranloo Tofigh²,Edalatpanah S.A.³

Affiliation:

1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

2. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

3. Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran

Abstract

A Pythagorean fuzzy set is a powerful model for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This research article presents a new model called LR-type fully Pythagorean fuzzy linear programming problem. We consider the notions of LR-type Pythagorean fuzzy number, ranking for LR-type Pythagorean fuzzy numbers and arithmetic operations for unrestricted LR-type Pythagorean fuzzy numbers. We propose a method to solve LR-type fully Pythagorean fuzzy linear programming problems with equality constraints. We describe our proposed method with numerical examples including diet problem.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference58 articles.

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2. Multi-criteria group decision making based on ELECTRE I method in Pythagorean fuzzy information;Akram;Soft Computing,2020

3. Extensions of ELECTRE-I and TOPSIS methods for group decision-making under complex Pythagorean fuzzy environment;Akram;Iranian Journal of Fuzzy Systems,2020

4. Methods for solving LR-bipolar fuzzy linear systems;Akram;Soft Computing,2021

5. Fully Pythagorean fuzzy linear programming problems with equality constraints;Akram;Computational and Applied Mathematics,2021

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