A Choquet-based multi-expert decision-making methodology with N-soft sets

نویسندگان

1 BORDA Research Unit and IME, University of Salamanca, 37007 Salamanca, Spain

2 Unidad de Excelencia Gestión Económica para la Sostenibilidad GECOS and IME, University of Salamanca, 37007 Salamanca, Spain

3 Institute of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan

4 School of Artificial Intelligence and Computer Science, Nantong University, Nantong 226019, China, and Faculty of Data Science, City University of Macau, Macau 999078, China

doi
10.22111/ijfs.2026.52870.9342
چکیده

The objective of this paper is to provide advanced multi-expert decision-making techniques using N-soft sets as a referential framework. For the first time, the primary analytical tool for achieving this goal is the Choquet integral. First, the application of this aggregation operator within the context of a set {0, 1, 2, . . . , N }, representing the available ratings, is investigated. A straightforward formulation of the Choquet integral tailored to this specific set, followed by a detailed presentation of its computational implementation, is presented. Then, practical implications of these constructions in the realm of N-soft set theory are shown. They encompass the computation of new scores for the assessment of alternatives in N-soft sets (both in individual and multi-agent cases), and aggregation of data that come in the form of N-soft sets. Ultimately, we demonstrate how these innovative tools enhance multi-expert decision-making methodologies within the framework of N-soft sets. Three different approaches are discussed. Examples and comparisons with existing methodologies are provided too.