Interval-Type Fuzzy Linear Fractional Programming Problem in Neutrosophic Environment: A Fuzzy Mathematical Programming Approach

Abstract

This article proposes an interval-valued fuzzy linear fractional programming (LFP) 
problem, where the coefficients in the objective functions are assumed to be single-valued 
trapezoidal fuzzy neutrosophic numbers. In addition to this, the coefficients in the constraints are 
represented by interval-valued fuzzy numbers. Auxiliary models according to different criteria are 
developed. Fuzzy mathematical programming approach is applied for solving each model by 
defining membership function. In this work, a linear membership function is used to determine the 
optimal compromise solutions of the auxiliary models. A numerical example is solved for the 
illustration and clear explanation of the proposed approach.