Mehar’s method for solving fully fuzzy linear programming problems with L-R fuzzy parameters

To the best of our knowledge, there is no method in literature for solving such fully fuzzy linear programming (FLP) problems in which some or all the parameters are represented by unrestricted L-R flat fuzzy numbers. Also, to propose such a method, there is need to find the product of unrestricted...

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Veröffentlicht in:Applied mathematical modelling Jg. 37; H. 12-13; S. 7142 - 7153
Hauptverfasser: Kaur, Jagdeep, Kumar, Amit
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.07.2013
Schlagworte:
Flats
Fuzzy
Fuzzy linear programming
Fuzzy logic
Fuzzy numbers
Fuzzy optimal solution
Fuzzy set theory
Fuzzy systems
Linear programming
Mathematical analysis
Mathematical models
Ranking function
Fuzzy linear programming
Ranking function
Fuzzy optimal solution
Fuzzy numbers
ISSN:0307-904X
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Zusammenfassung:To the best of our knowledge, there is no method in literature for solving such fully fuzzy linear programming (FLP) problems in which some or all the parameters are represented by unrestricted L-R flat fuzzy numbers. Also, to propose such a method, there is need to find the product of unrestricted L-R flat fuzzy numbers. However, there is no method in the literature to find the product of unrestricted L-R flat fuzzy numbers. In this paper, firstly the product of unrestricted L-R flat fuzzy numbers is proposed and then with the help of proposed product, a new method (named as Mehar’s method) is proposed for solving fully FLP problems. It is also shown that the fully FLP problems which can be solved by the existing methods can also be solved by the Mehar’s method. However, such fully FLP problems in which some or all the parameters are represented by unrestricted L-R flat fuzzy numbers can be solved by Mehar’s method but can not be solved by any of the existing methods.
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ISSN:0307-904X
DOI:10.1016/j.apm.2013.01.040