Comparison of Operations in Fuzzy Approximate Reasoning and Centroid of Membership Function

In this study, the considerations of defuzzified value of asymmetry triangular membership function using centroid method are described. The product operation, minimum operation and Lukasiewicz t-norm operation were compared in this paper. The magnitude relationship between defuzzified values calculated by these method is proved mathematically And this theorem is confirmed by graphs of numerical examples.

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Publication Details

Published
2024-09-12
DOI
https://doi.org/10.1109/ictiia61827.2024.10761300
Citations
2
Primary Topic
Fuzzy Logic and Control Systems
Type
article
Field-Weighted Citation Impact
0.69
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article

Comparison of Operations in Fuzzy Approximate Reasoning and Centroid of Membership Function

Takashi Mitsuishi
2 citations
Fuzzy Logic and Control Systems
0.69
article

Comparison of Operations in Fuzzy Approximate Reasoning and Centroid of Membership Function

Takashi Mitsuishi
article en
2 citations

Abstract

In this study, the considerations of defuzzified value of asymmetry triangular membership function using centroid method are described. The product operation, minimum operation and Lukasiewicz t-norm operation were compared in this paper. The magnitude relationship between defuzzified values calculated by these method is proved mathematically And this theorem is confirmed by graphs of numerical examples.

Nagano University (JP)
Reduced inequalities
Openalex Percentile: Top 23%
Fuzzy Logic and Control Systems
0.69
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Comparison of Operations in Fuzzy Approximate Reasoning and Centroid of Membership Function — Takashi Mitsuishi · (2024) | TGRS Research Map | TGRS