The Energy of rough neutrosophic matrix and its application to MCDM problem for selecting the best building construction site

Abstract

An approach to data processing for relational databases is called a rough set theory. It is an interesting area of uncertainty mathematics that is mainly related to fuzzy theory. Rough set theory and neutrosophic set theory can be joined to create a powerful tool for dealing with indeterminacy. Neutrosophic matrices help decision-makers deal with multi-criteria decisionmaking by providing them with more useful and practical when we apply the concept of matrix energy. In this paper, we defined a Rough neutrosophic matrix and its energy. Some propositions, lower and upper limits of the rough neutrosophic matrix's energy were derived. The proposed energy of the rough neutrosophic matrix was applied in multi-criteria decision-making problems. The problem is to select the best place for constructing the school building. Applying the energy method to the MCDM problem became more relatable and produced good results.

Evaluation of the route selection in international freight transportation by using the CODAS technique based on interval-valued Atanassov intuitionistic sets

“…Numerous studies in the literature (Paul et al 2022 ; Donbosco and Ganesan 2022 ; Tutak and Brodny 2022 ) indicate the necessity of analyzing input parameters' influence on the initial ranking results. Subjectively defined parameters in the decision-making process can significantly affect the final results of the response (Riaz et al 2022), so it is necessary to analyze their impact to validate the initial solution.…”