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

Document Type : Research Paper

Authors

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

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

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

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

Abstract

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.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 23, Issue 1
January and February 2026
Pages 163-181

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