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.

Keywords

• interval-type
• fractional programming
• fuzzy numbers
• neutrosophic numbers
• interval- valued fuzzy numbers
• trapezoidal fuzzy numbers
• auxiliary models