Averaging aggregation under uncertainty and bipolar preference environments

Jin, LeSheng; Yager, Ronald R.; Chen, Zhen‐Song; Mesiar, Radko; Martínez, Luis; Rodríguez, Rosa M.

doi:10.1007/s00500-023-08152-6

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2023

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“…Aggregation operators play a crucial role in various fields, including decision theory [1], information fusion [2], and fuzzy inference systems [3]. These operators aim to combine multiple numerical values into a single representative value [4].…”

Section: Introductionmentioning

confidence: 99%

Some Construction Methods for Pseudo-Overlaps and Pseudo-Groupings and Their Application in Group Decision Making

García-Zamora

Paiva

Cruz

et al. 2023

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In many real-world scenarios, the importance of different factors may vary, making commutativity an unreasonable assumption for aggregation functions, such as overlaps or groupings. To address this issue, researchers have introduced pseudo-overlaps and pseudo-groupings as their corresponding non-commutative generalizations. In this paper, we explore various construction methods for obtaining pseudo-overlaps and pseudo-groupings using overlaps, groupings, fuzzy negations, convex sums, and Riemannian integration. We then show the applicability of these construction methods in a multi-criteria group decision-making problem, where the importance of both the considered criteria and the experts vary. Our results highlight the usefulness of pseudo-overlaps and pseudo-groupings as a non-commutative alternative to overlaps and groupings.

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