An Approach to Solve a Possibilistic Linear Programming Problem

Ritika Chopra; Ratnesh R. Saxena

doi:10.4236/am.2014.52024

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An Approach to Solve a Possibilistic Linear Programming Problem

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DOI: 10.4236/am.2014.52024 3,605 Downloads 5,586 Views Citations

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Ritika Chopra, Ratnesh R. Saxena

Affiliation(s)

Department of Mathematics, DeenDayalUpadhyay College, Delhi University, Delhi, India.
Department of Mathematics, Delhi University, Delhi, India.

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.

KEYWORDS

Multi Objective Linear Programming Problem; Fuzzy Set Theory; Trapezoidal Fuzzy Numbers; Possibilistic Linear Programming Problem

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

R. Chopra and R. Saxena, "An Approach to Solve a Possibilistic Linear Programming Problem," Applied Mathematics, Vol. 5 No. 2, 2014, pp. 226-233. doi: 10.4236/am.2014.52024.

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