New methods for fuzzy linear programming problem based on heptadecagonal fuzzy number

In this paper, three new methods for fuzzy linear programming problem (FLPP) based on heptadecagonal fuzzy number are proposed. The cost coefficients in the objective function, coefficients of decision variables, and right-hand side coefficients of constraints in linear programming problem are consi...

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Bibliographic Details
Published in:Life cycle reliability and safety engineering Vol. 13; no. 1; pp. 25 - 32
Main Authors: Bala, Vipin, Kumar, Jitender, Kadyan, M. S.
Format: Journal Article
Language:English
Published: Singapore Springer Nature Singapore 01.03.2024
Subjects:
Civil Engineering
Engineering
Mechanical Engineering
Original Research
Quality Control
Reliability
Safety and Risk
Fuzzy linear programming problem
Ranking function
Heptadecagonal fuzzy number
Simplex method
ISSN:2520-1352, 2520-1360
Online Access:Get full text
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Summary:In this paper, three new methods for fuzzy linear programming problem (FLPP) based on heptadecagonal fuzzy number are proposed. The cost coefficients in the objective function, coefficients of decision variables, and right-hand side coefficients of constraints in linear programming problem are considered as heptadecagonal fuzzy number. These proposed new methods are used to convert fuzzy linear programming problem into a crisp valued problem. The simplex method is used to find the optimal solution for FLPP with inequality constraints, occurring in real-life situations. The proposed methods are illustrated with numerical examples and the comparisons of the proposed methods are also discussed.
ISSN:2520-1352
2520-1360
DOI:10.1007/s41872-023-00238-2