The dual triple I methods of FMT and IFMT
type: Item
instance of: scholarly article
title: The dual triple I methods of FMT and IFMT
zbMATH Open document ID: 1407.68487
DOI: 10.1155/2014/507401
author: Liu Yan
author: Zheng Mucong
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The Triple I method for the model of intuitionistic fuzzy modus tollens (IFMT) satisfies the local reductivity instead of the reductivity. In order to improve the quality of the Triple I method for lack of reductivity, the paper is intended to present a new approximate reasoning method for IFMT problem. First, the concept of intuitionistic fuzzy difference operator is proposed and its properties on the lattice structure of intuitionistic fuzzy sets are studied. Then, the dual Triple I method for FMT based on residual fuzzy difference operator is presented and the dual Triple I method is generated for IFMT. Moreover, a decomposition method of IFMT is provided. Furthermore, the reductivity of methods is investigated. Finally, \(\alpha\)-dual Triple I method of IFMT is proposed.
Mathematics Subject Classification ID: 68T37
Mathematics Subject Classification ID: 03B52
zbMATH DE Number: 7016611
Wikidata QID: Q59067997
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/507401
OpenAlex ID: W2172252142
cites work: Fuzzy sets
cites work: Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
cites work: The role of fuzzy sets in decision sciences: old techniques and new directions
cites work: Fuzzy logic in control systems: fuzzy logic controller. II
cites work: Q3949028
cites work: Q4367944
cites work: Formalized theory of general fuzzy reasoning.
cites work: Unified forms of fully implicational restriction methods for fuzzy reasoning
cites work: On the strict logic foundation of fuzzy reasoning
cites work: Unified full implication algorithms of fuzzy reasoning
cites work: Formalization of implication based fuzzy reasoning method
cites work: Triple I method of fuzzy reasoning
cites work: Unified forms of Triple I method
cites work: Gradualness, uncertainty and bipolarity: making sense of fuzzy sets
cites work: Intuitionistic fuzzy sets
cites work: Intuitionistic fuzzy sets. Theory and applications
cites work: Mathematical morphology on bipolar fuzzy sets: general algebraic framework
cites work: New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions
cites work: New similarity measures between intuitionistic fuzzy sets and between elements
cites work: Multi-criteria decision-making methods based on intuitionistic fuzzy sets
cites work: Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
cites work: CLASSES OF INTUITIONISTIC FUZZY T-NORMS SATISFYING THE RESIDUATION PRINCIPLE
cites work: Triple I method of approximate reasoning on Atanassov's intuitionistic fuzzy sets
cites work: Triangular norms
cites work: Co-residuated lattices and their applications.
description: scientific article; zbMATH DE number 7016611