Solution of Fully Bipolar Fuzzy Linear Programming Models

The Yin-Yang bipolar fuzzy set is a powerful mathematical tool for depicting fuzziness and vagueness. We first extend the concept of crisp linear programming problem in a bipolar fuzzy environment based on bipolar fuzzy numbers. We first define arithmetic operations of unrestricted bipolar fuzzy num...

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Bibliographic Details
Main Authors: Muhammad Athar Mehmood, Muhammad Akram, Majed G. Alharbi, Shahida Bashir
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/9961891