Romanian Journal of Information Science and Technology (ROMJIST)

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ROMJIST is a publication of Romanian Academy,
Section for Information Science and Technology

Editor – in – Chief:

Academician Dan Dascalu

Secretariate (office):
Adriana Apostol
Adress for correspondence: romjist@nano-link.net (after 1st of January, 2019)

Editing of the printed version: Mihaela Marian (Publishing House of the Romanian Academy, Bucharest)

Technical editor
of the on-line version:
Lucian Milea (University POLITEHNICA of Bucharest)

Sponsors:
• National Institute for R & D
in Microtechnologies
(IMT Bucharest), www.imt.ro
• Association for Generic
and Industrial Technologies (ASTEGI), www.astegi.ro

ROMJIST Volume 24, No. 3, 2021, pp. 257-283, Paper no. 693/2021
 

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 System

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