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Issue title: Dedicated to Professor Lotfi A. Zadeh and Fifty Years of Fuzzy Logic
Article type: Research Article
Authors: Mas, M. | Massanet, S. | Ruiz-Aguilera, D. | Torrens, J.*
Affiliations: Department of Mathematics and Computer Science, University of the Balearic Islands, Palma de Mallorca, Spain
Correspondence: [*] Corresponding author. J. Torrens, Department of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma de Mallorca, Spain. Tel.: +34 971 173 195; Fax: +34 971 173 003; E-mail: jts224@uib.es.
Abstract: This paper wants to be a compilation of the different existing classes of uninorms. From their introduction, uninorms have been extensively studied not only as aggregation operators but also as logical connectives. The study of both aspects has produced many results on this kind of operators and many different classes have appeared. This work does not aim to be exhaustive since it is not possible to recall all known results about all classes of uninorms in a reduced space. Thus, we only want to state the general research lines of these classes in the two main frameworks where uninorms have been studied: the unit interval [0, 1] and the discrete setting. However, we will also compile the references where more details about all the existing classes of uninorms can be found, for the convenience of the interested reader. Uninorms in other frameworks are also recalled and finally, a section devoted to applications of uninorms is included.
Keywords: Aggregation operators, logical connectives, uninorms, classes of uninorms, discrete uninorms
DOI: 10.3233/IFS-151728
Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 3, pp. 1021-1037, 2015
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