Fuzzy linear programming problem with fuzzy decision variables: A geometrical approach

Decision making problems force the decision maker to consider fuzzy decision variables in a fuzzy linear programming problem. Therefore, the proposed fuzzy linear programming problem considers a triangular fuzzy decision variable with triangular fuzzy parameters. A defuzzyfication method based on in...

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Bibliographic Details
Published in:Journal of statistics & management systems Vol. 24; no. 4; pp. 853 - 863
Main Authors: Tadesse, Admasu, Acharya, M. M., Sahoo, Manoranjan, Acharya, Srikumar
Format: Journal Article
Language:English
Published: New Delhi Taylor & Francis 19.05.2021
Taru Publications
Subjects:
Apexes
Decision making
Fuzzy decision variable
Linear programming
Mathematical programming
Non-linear programming problem
Nonlinear programming
Parameters
Triangles
Triangular fuzzy number
Variables
ISSN:0972-0510, 2169-0014
Online Access:Get full text
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Summary:Decision making problems force the decision maker to consider fuzzy decision variables in a fuzzy linear programming problem. Therefore, the proposed fuzzy linear programming problem considers a triangular fuzzy decision variable with triangular fuzzy parameters. A defuzzyfication method based on incenter of a triangle, which is formed by joining the vertices of the triangular fuzzy parameters and fuzzy decision variables. The coordinate of the incenter is obtained by using the concept of geometry. In next step, the incenter is considered as a vector quantity. Using the concept of obtaining the magnitude of a vector, the final mathematical model is formulated. The final mathematical programming problem is a crisp non-linear programming problem. The resultant crisp mathematical programming problem is solved by appropriate mathematical software. A numerical example is presented to illustrate the methodology.
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content type line 14
ISSN:0972-0510
2169-0014
DOI:10.1080/09720510.2021.1872174