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Similarity-Based Strict Equality in a Fully Integrated Fuzzy Logic Language

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Rule Technologies: Foundations, Tools, and Applications (RuleML 2015)

Abstract

The extension of a given similarity relation \(\mathcal R\) between pairs of symbols of a particular alphabet to terms built with such symbols can be implemented at a very high abstract level by a set of fuzzy program rules defining a predicate called sse. This predicate is defined for incorporating “Similarity-based Strict Equality” into the new fuzzy logic language FASILL (acronym of “Fuzzy Aggregators and Similarity Into a Logic Language”) that we have recently developed in our research group. FASILL aims to cope with implicit/explicit truth degree annotations, a great variety of connectives and unification by similarity. In this paper we show the benefits of using this sophisticated notion of equality which is somehow inspired by the so-called “Strict Equality” of functional and functional-logic languages with lazy semantics (e.g.: Haskell and Curry respectively) and the “Similarity-based Equality” of fuzzy logic languages using weak unification (Bousi \(\sim \) Prolog, Likelog), a notion beyond classic syntactic unification.

Work Supported by the EU (FEDER), and the Spanish MINECO Ministry (Ministerio de Economía y Competitividad) under grant TIN2013-45732-C4-2-P.

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Correspondence to Pascual Julián-Iranzo .

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Julián-Iranzo, P., Moreno, G., Vázquez, C. (2015). Similarity-Based Strict Equality in a Fully Integrated Fuzzy Logic Language. In: Bassiliades, N., Gottlob, G., Sadri, F., Paschke, A., Roman, D. (eds) Rule Technologies: Foundations, Tools, and Applications. RuleML 2015. Lecture Notes in Computer Science(), vol 9202. Springer, Cham. https://doi.org/10.1007/978-3-319-21542-6_13

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  • DOI: https://doi.org/10.1007/978-3-319-21542-6_13

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