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

Authors

  • Hamiden Abd El- Wahed Khalifa Department of Operations Research , Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt
  • Pavan Kumar Mathematics Division, VIT Bhopal University, Sehore, Madhya Pradesh, India

Keywords:

Interval-type, Fractional programming, Fuzzy numbers, Neutrosophic numbers, Interval- valued fuzzy numbers, Trapezoidal fuzzy numbers, Auxiliary models

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.

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Published

2021-12-01

Issue

Vol. 47 (2021): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2021 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Hamiden Abd El- Wahed Khalifa, & Pavan Kumar. (2021). Interval-Type Fuzzy Linear Fractional Programming Problem in Neutrosophic Environment: A Fuzzy Mathematical Programming Approach . Neutrosophic Sets and Systems, 47, 38-49. https://fs.unm.edu/nss8/index.php/111/article/view/4119