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Analysis of institutional authors

Torres-Blanc CAuthorCubillo SCorresponding AuthorMagdalena Layos, LuisAuthor

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Antonyms of predicates on n-tuples of fuzzy sets. A characterization of involutions on [0,1]n

Publicated to:Fuzzy Sets And Systems. 463 108420- - 2023-07-15 463(), DOI: 10.1016/j.fss.2022.10.012

Authors: Torres-Blanc, C; Cubillo, S; Magdalena, L; Hernández-Varela, P

Affiliations

Univ Politecn Madrid, Campus Montegancedo, Boadilla Del Monte 28660, Spain - Author
Univ San Sebastian, Bellavista 7, Recoleta, Region Metropol, Chile - Author
Universidad Politécnica de Madrid - Author
Universidad San Sebastián - Author

Abstract

Obtaining the complement of a fuzzy set is usually done through a negation function. On the other hand, the antuonym of a predicate, which in classical logic could be considered to be the complement, is radically different from it in uncertain environments. To model it in fuzzy logic or in its extensions, it is common to use involutions, functions on the universe that satisfy some boundary, monotony and involution conditions. In particular, to obtain the antonym of a fuzzy predicate determined by n arguments, we will need an involution on [0,1]n. As involutions on [0,1]2 were characterized in a previous work, in the present paper we firstly focus on involutions on [0,1]3, suggesting how involutions on [0,1]n could be. We then obtain the main result, the characterization of involutions in this set [0,1]n.

Keywords

antonymcomplementinvolutionnegationrepresentationAntonymComplementFuzzy setsInvolutionNegationT-norms

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Fuzzy Sets And Systems due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 14/332, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied. Notably, the journal is positioned above the 90th percentile.

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-01:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Chile.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (TORRES BLANC, M.DEL CARMEN) .

the author responsible for correspondence tasks has been CUBILLO VILLANUEVA, SUSANA.