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Soft Computing
Published in: Soft Computing 18/2019

19-09-2018 | Methodologies and Application

Intuitionistic fuzzy reasoning using the method of optimizing the similarity of truth tables

Authors: Mahin Esmaeili, Esfandiar Eslami

Published in: Soft Computing | Issue 18/2019

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Abstract

In this paper, we extend the method of optimizing the similarity (OS method for short) of truth tables used in fuzzy reasoning, to intuitionistic fuzzy reasoning. In this regard, we introduce intuitionistic fuzzy implicators and some intuitionistic similarity measures. We explain the OS method for intuitionistic fuzzy modus ponens and intuitionistic fuzzy modus tollens. Then, we define continuous intuitionistic fuzzy implicators and give some weaker conditions under which the optimization problem has a solution. The reductive property and optimality condition for this method are investigated.
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Metadata
Title
Intuitionistic fuzzy reasoning using the method of optimizing the similarity of truth tables
Authors
Mahin Esmaeili
Esfandiar Eslami
Publication date
19-09-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 18/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3478-1

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