Intuitionistic fuzzy solid assignment problems: a software-based approach

P. Senthil Kumar ()

International Journal of System Assurance Engineering and Management, 2019, vol. 10, issue 4, No 18, 675 pages

Abstract: Abstract This paper sustains a sound mathematical and computing background. In this paper, the software-based approach for solving intuitionistic fuzzy solid assignment problem (IFSAP) is presented. The IFSAP is formulated and it is solved by using Lingo 17.0 software tool. Theorems related to IFSAP is proved. The IFSAP and its crisp solid assignment problem both are solved at a time and their optimal solution is obtained. In addition, the optimal objective values of both the IFSAP and its crisp solid assignment problem (SAP) are estimated with the help of substituting the optimal solution(s) to their respective decision variables in the objective functions. Some new and important results are proposed. To illustrate the efficiency of the proposed method the numerical example is presented. The reliability of the proposed results are verified by using the numerical example. Strengths and weakness of the paper is mentioned. The novelty of the analysis is given into a coherent, concise, and meaningful manner of analysis. Social issue (real-life problem) is converted into a mathematical model and it is solved by the proposed method. At the end, the advantages of the proposed algorithm is explained.

Keywords: Intuitionistic fuzzy set; Intuitionistic fuzzy number; Triangular intuitionistic fuzzy number; Assignment problem; Solid assignment problem; Intuitionistic fuzzy solid assignment problem; Lingo 17.0; Software-based approach; Optimal assignment; Optimal solution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s13198-019-00794-w

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