A New Approach for Solving Interval Neutrosophic Integer Programming Problems

Fuzzy Optimization and Modeling Journal

دوره 2، شماره 2، تیر 2021، صفحه 1-11   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2021.1926842.1025

نویسندگان

Seyed Mohammadtaghi Azimi¹؛ Hu Chun²؛ Chen Zhihong³؛ Amirhossein Nafei^{* 4}

¹Department of civil engineering,Guangzhou University,Guangzhou, China

²Department o civil engineering, Guangzhou University, Guangzhou, China

³Department of Civil Engineering,Guangzhou University,Guangzhou,China

⁴Department of Mathematics and Information Science, Guangzhou University, Guangzhou,China

چکیده

A B S T R A C T
Linear 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.

کلیدواژه‌ها

Neutrosophic؛ Linear programming؛ Integer programming؛ Interval neutrosophic number