A new procedure for solving linear programming problems in an intuitionistic fuzzy environment

This paper presents a novel approach for solving Linear Programming Problems in an Intuitionistic Fuzzy environment. Here, the cost coefficients in the objective function of an Intuitionistic Fuzzy Number Linear Programming Problem (IFNLPP) are considered to be Symmetric Triangular Intuitionistic Fu...

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Vydané v:Journal of physics. Conference series Ročník 1139; číslo 1; s. 12079 - 12083
Hlavní autori: Malathi, C, Umadevi, P
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Bristol IOP Publishing 01.12.2018
Predmet:
Algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Intuitionistic Fuzzy Number Linear Programming Problems
Intuitionistic Fuzzy Set
Linear programming
Simplex method
Symmetric Triangular Intuitionistic Fuzzy Numbers and Ranking Function
ISSN:1742-6588, 1742-6596
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Abstract This paper presents a novel approach for solving Linear Programming Problems in an Intuitionistic Fuzzy environment. Here, the cost coefficients in the objective function of an Intuitionistic Fuzzy Number Linear Programming Problem (IFNLPP) are considered to be Symmetric Triangular Intuitionistic Fuzzy Numbers (STriIFNs) and the problem has been solved without converting them to crisp Linear Programming Problem using linear Ranking function. Intuitionistic Fuzzy Simplex algorithm which is a most powerful tool of handling any IFLPP has been used for solution procedure. An example has also been illustrated to reveal the effectiveness of the projected method.
AbstractList This paper presents a novel approach for solving Linear Programming Problems in an Intuitionistic Fuzzy environment. Here, the cost coefficients in the objective function of an Intuitionistic Fuzzy Number Linear Programming Problem (IFNLPP) are considered to be Symmetric Triangular Intuitionistic Fuzzy Numbers (STriIFNs) and the problem has been solved without converting them to crisp Linear Programming Problem using linear Ranking function. Intuitionistic Fuzzy Simplex algorithm which is a most powerful tool of handling any IFLPP has been used for solution procedure. An example has also been illustrated to reveal the effectiveness of the projected method.
Author Umadevi, P
Malathi, C
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10.1016/S0165-0114(86)80034-3
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10.1016/j.microrel.2006.01.007
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SubjectTerms Algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Intuitionistic Fuzzy Number Linear Programming Problems
Intuitionistic Fuzzy Set
Linear programming
Simplex method
Symmetric Triangular Intuitionistic Fuzzy Numbers and Ranking Function
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