Nonlinear fuzzy fractional signomial programming problem: A fuzzy geometric programming solution approach

¹ Department of Mathematics, ITER, SOA Deemed to be University, Bhubaneswar 751030, Odisha, India
² Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar 751024, Odisha, India

^* Corresponding author: suvasis.nayakfma@kiit.ac.in

Received: 4 November 2022
Accepted: 6 May 2023

Abstract

Fuzzy fractional signomial programming problem is a relatively new optimization problem. In real world problems, some variables may vacillate because of various reasons. To tackle these vacillating variables, vagueness is considered in form of fuzzy sets. In this paper, a nonlinear fuzzy fractional signomial programming problem is considered with all its coefficients in objective functions as well as constraints are fuzzy numbers. Two solution approaches are developed based on signomial geometric programming comprising nearest interval approximation with parametric interval valued functions and fuzzy α-cut with min–max approach. To demonstrate the proposed methods, two illustrative numerical examples are solved and the results are comparatively discussed showing its feasibility and effectiveness.