Preprint Article Version 1 This version is not peer-reviewed

An Approximation Method of Fuzzy Numbers Based on Extended Fuzzy Transforms

Version 1 : Received: 3 April 2018 / Approved: 4 April 2018 / Online: 4 April 2018 (05:42:01 CEST)

How to cite: Di Martino, F.; Sessa, S. An Approximation Method of Fuzzy Numbers Based on Extended Fuzzy Transforms. Preprints 2018, 2018040046 (doi: 10.20944/preprints201804.0046.v1). Di Martino, F.; Sessa, S. An Approximation Method of Fuzzy Numbers Based on Extended Fuzzy Transforms. Preprints 2018, 2018040046 (doi: 10.20944/preprints201804.0046.v1).

Abstract

We propose a new Mamdani fuzzy rule-based system in which the fuzzy sets in the antecedents and consequents are assigned in a discrete set of points and approximated by using the extended inverse fuzzy transforms, whose components are calculated by verifying that the dataset is sufficiently dense with respect to the uniform fuzzy partition. We test our system in the problem of spatial analysis consisting in the evaluation of the liveability of residential housings in all the municipalities of the district of Naples (Italy). Comparisons are done with the results obtained by using trapezoidal fuzzy numbers in the fuzzy rules.

Subject Areas

extended fuzzy transform; fuzzy number; rule management system; spatial analysis

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