1. On interval fuzzy S-implications
- Author
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Bedregal, B.C., Dimuro, G.P., Santiago, R.H.N., and Reiser, R.H.S.
- Subjects
- *
INTERVAL analysis , *FUZZY logic , *AUTOMORPHISMS , *MATHEMATICAL analysis , *INFORMATION theory , *IMPLICATION (Logic) - Abstract
Abstract: 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 S-implications is outlined, showing that the action of an interval-valued automorphism on an interval-valued S-implication produces another interval-valued S-implication. [Copyright &y& Elsevier]
- Published
- 2010
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