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

Autor:	Diego García-Zamora, Rui Paiva, Anderson Cruz, Javier Fernandez, Humberto Bustince
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	pseudo-overlap pseudo-grouping group decision making Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 6, p 589 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12060589
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c3f9bcf789eb452f930cc2be16b77e93 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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