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C3 - Artigos Publicados em Periódicos

URI permanente para esta coleçãohttps://rihomolog.furg.br/handle/1/486

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2009 - 20102

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Autor: search.filters.author.Reiser, Renata Hax SanderAssunto: search.filters.subject.Fuzzy logic

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Agora exibindo 1 - 2 de 2
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    Xor-Implications and E-implications: classes of fuzzy implications based on fuzzy Xor
    (2009) Bedregal, Benjamín Callejas; Reiser, Renata Hax Sander; Dimuro, Graçaliz Pereira
    The main contribution of this paper is to introduce an autonomous definition of the connective “fuzzy exclusive or” (fuzzy Xor, for short), which is independent from others connectives. Also, two canonical definitions of the connective Xor are obtained from the composition of fuzzy connectives, and based on the commutative and associative properties related to the notions of triangular norms, triangular conorms and fuzzy negations. We show that the main properties of the classical connective Xor are preserved by the connective fuzzy Xor, and, therefore, this new definition of the connective fuzzy Xor extends the related classical approach. The definitions of fuzzy Xor-implications and fuzzy E-implications, induced by the fuzzy Xor connective, are also studied, and their main properties are analyzed. The relationships between the fuzzy Xor-implications and the fuzzy E-implications with automorphisms are explored.
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    On interval fuzzy S-implications
    (2010) Bedregal, Benjamín Callejas; Dimuro, Graçaliz Pereira; Santiago, Regivan Hugo Nunes; Reiser, Renata Hax Sander
    This paper presents an analysis of interval-valued S-implications and interval-valued automorphisms, showing a way to obtain an interval-valued S-implication from two S-implications, such that the resulting interval-valued S-implication is said to be obtainable. Some consequences of that are: (1) the resulting interval-valued S-implication satisfies the correctness property, and (2) some important properties of usual S-implications are preserved by such interval representations. A relation between S-implications and interval-valued Simplications is outlined, showing that the action of an interval-valued automorphism on an interval-valued S-implication produces another interval-valued S-implication.