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An Approach to Solve a Possibilistic Linear Programming Problem
Department of Mathematics, Delhi University, Delhi, India
Department of Mathematics, DeenDayalUpadhyay College, Delhi University, Delhi, India
- 1 Department of Mathematics, Delhi University, Delhi, India
- 2 Department of Mathematics, DeenDayalUpadhyay College, Delhi University, Delhi, India
Applied Mathematics·Volume 05 (2014)·Pages 226–233·Published 17 January 2014·DOI10.4236/am.2014.52024
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Abstract
The objective of the paper is to deal with a kind of possibilistic linear programming (PLP) problem involving multiple objectives of conflicting nature. In particular, we have considered a multi objective linear programming (MOLP) problem whose objective is to simultaneously minimize cost and maximize profit in a supply chain where cost and profit coefficients, and related parameters such as available supply, forecast demand and budget are fuzzy with trapezoidal fuzzy numbers. An example is given to illustrate the strategy used to solve the aforesaid PLP problem.
KeywordsMulti Objective Linear Programming ProblemFuzzy Set TheoryTrapezoidal Fuzzy NumbersPossibilistic Linear Programming Problem
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