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Interpolativity and Continuity of Similarity-Based Reasoning Fuzzy Inference

Publication Type : Conference Proceedings

Source : 19th World Congress of the International Fuzzy Systems Association (IFSA), 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and 11th International Summer School on Aggregation Operators (AGOP), pp. 352-359, 2021

Url : https://www.researchgate.net/publication/354606026_Interpolativity_and_Continuity_of_Similarity-Based_Reasoning_Fuzzy_Inference

Campus : Amaravati

School : School of Engineering

Department : Mathematics

Verified : No

Year : 2021

Abstract : Similarity-based reasoning is one of thewell-established inference mechanismswhich is widespread in the literature. Aninference mechanism is required to havesome properties to be an acceptable in-ference mechanism that can be used in anapplication. Interpolativity and continuityare two of the major controlling propertiesof an inference mechanism. In this work,we represent the SBR inference mechanismas a function between two spaces of fuzzysets following which we ascertain the con-ditions on different operations involved in asimilarity-based reasoning inference mech-anism that satisfies the above-mentionedproperties.

Cite this Research Publication : Sayantan Mandal, Balasubramaniam Jayaram, Interpolativity and Continuity of SimilarityBased Reasoning Fuzzy Inference, 19th World Congress of the International Fuzzy Systems Association (IFSA), 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and 11th International Summer School on Aggregation Operators (AGOP), pp. 352-359, 2021

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