10.30495/fomj.2021.1926842.1025

A New Approach for Solving Interval Neutrosophic Integer Programming Problems

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  • Seyed Mohammadtaghi Azimi1,
  • Hu Chun2,
  • Chen Zhihong3,
  • Amirhossein Nafei*4,
  1. Department of civil engineering,Guangzhou University,Guangzhou, China
  2. Department o civil engineering, Guangzhou University, Guangzhou, China
  3. Department of Civil Engineering,Guangzhou University,Guangzhou,China
  4. Department of Mathematics and Information Science, Guangzhou University, Guangzhou,China

Revised: 2021-03-30

Accepted: 2021-05-19

Published in Issue 2021-04-01

How to Cite

Azimi, S. M., Chun, H., Zhihong, C., & Nafei, A. (2021). A New Approach for Solving Interval Neutrosophic Integer Programming Problems. Fuzzy Optimization and Modeling Journal (FOMJ), 2(2), 1-11. https://doi.org/10.30495/fomj.2021.1926842.1025
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Abstract

A B S T R A C TLinear Programming as a practical technique for solving optimization problems with linear objective functions and linear constraint plays an essential role in mathematical programming. Most of the real-world problems are included in inconsistent and astute uncertainty. That's why the optimal solution can't be found easily. The Neutrosophic theory, as an extension of fuzzy set theory, is a powerful instrument to handle inconsistent, indeterminate, and incomplete information. This paper presents an applied approach for solving Interval Neutrosophic Integer Programming problems. By using the proposed approach, we can handle both incomplete and indeterminate data. In this respect, using a ranking function, we present a technique to convert the Interval Neutrosophic Integer Programming problem into a crisp model and then solve it by standard methods.
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