Interpolativity and Continuity of Similarity-Based Reasoning Fuzzy Inference

DOI

10.2991/asum.k.210827.047How to use a DOI?

Keywords

Similarity-based reasoning, Matching function, Modification function, Aggregation function, Fuzzy implication, t-norm, Interpolativity, Continuity

Abstract

Similarity-based reasoning is one of the well-established inference mechanisms which is widespread in the literature. An inference mechanism is required to have some properties to be an acceptable inference mechanism that can be used in an application. Interpolativity and continuity are two of the major controlling properties of an inference mechanism. In this work, we represent the SBR inference mechanism as a function between two spaces of fuzzy sets following which we ascertain the conditions on different operations involved in a similarity-based reasoning inference mechanism that satisfies the above-mentioned properties.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Sayantan Mandal
AU  - Balasubramaniam Jayaram
PY  - 2021
DA  - 2021/08/30
TI  - Interpolativity and Continuity of Similarity-Based Reasoning Fuzzy Inference
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 352
EP  - 359
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.047
DO  - 10.2991/asum.k.210827.047
ID  - Mandal2021
ER  -