ROMJIST Volume 24, No. 3, 2021, pp. 257-283
Chung-Jin KWAK, Kwang-Chol RI, Son-Il KWAK1, Kum-Ju KIM, Un-Sok RYU, O-Chol KWON, Nam-Hyok KIM Fuzzy Modus Ponens and Tollens based on Moving Distance in SISO Fuzzy System
ABSTRACT: We show that this paper points out a basic and original fuzzy reasoning method that can draw a novel study direction of the approximate inference in fuzzy systems with uncertainty. For realization of this study direction this work is based on the recent paper’s idea presented by the several authors, which is to obtain a new conclusion by the moving distance operation between the antecedent and the given premise (observation). Firstly in this paper we propose a criterion function for checking of the reductive property about fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT). Secondly unlike fuzzy reasoning methods based on a lot of the similarity measure, we propose a principle of new FMP and FMT based on moving distance (MD), i.e., moving operation, and then present two theorems and reasoning methods for FMP-MD and FMT-MD, for short, MDM. Thirdly through the several computational experiments, we show that proposed method is simple and effective, has high reductive property, and is better in accordance with human thinking than existing methods.KEYWORDS: Fuzzy Reasoning: Moving Distance: Fuzzy Modus Ponens: Fuzzy Modus Tollens: Normal Fuzzy Set: Reductive Property: SISO Fuzzy SystemRead full text (pdf)