An Analysis of Multi-objective Fuzzy Stochastic Nonlinear Programming Models

Thangaraj Beaula; R. Seetha

doi:10.26713/cma.v13i4.2184

Authors

Thangaraj Beaula Department of Mathematics, TBML College (affiliated to Bharathidasan University), Porayar 609307, Tamil Nadu, India https://orcid.org/0000-0003-1430-6732 (unauthenticated)
R. Seetha Department of Mathematics, E.G.S. Pillay Engineering College (Autonomous), Nagapattinam 611002, Tamil Nadu, India https://orcid.org/0000-0003-4502-9125 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i4.2184

Keywords:

Multi objective fuzzy stochastic nonlinear programming, L-R fuzzy numbers, Gamma distribution

Abstract

A novel method is developed for multi-objective fuzzy stochastic nonlinear programming models with some stochastic constraints in which randomness is described by gamma random variables and fuzziness is expressed by L-R fuzzy numbers. The solution for aforesaid model is obtained by three stages: Defuzzification, conversion of MOSNLPP into MONLLP using chance constrained technique and solving multi objective deterministic nonlinear programming problem. An example is exemplified to validate and strengthen the efficacy of proposed technique.

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