A new model of fuzzy reasoning
type: Item
instance of: scholarly article
title: A new model of fuzzy reasoning
zbMATH Open document ID: 0709.94028
DOI: 10.1016/0165-0114(90)90106-G
author: Zhiqiang Cao
author: A. Kandel
author: Lihong Li
published in: Fuzzy Sets and Systems
publication date: 1990-01-01T00:00:00Z
review text: The paper presents a new model of reasoning in presence of fuzzy premises. For antecedents \(ant_ i\) as well as a new fact \(A_ 0\) available, the consequence \(B_ 0\) is to be determined. The approach studied in this paper involves rules in which Y is expressed as a union of weighted \(B_ i's\). It means that for the i-th rule we obtain, \[ ant_ i:\;\text{ if X is \(A_ i\) then } Y=\lambda_{i1}/B_ 1+\lambda_{i2}/B_ 2+...+\lambda_{iN}/B_ N \] with the right-hand side of the expression denoting a union of \(B_ j\)'s activated at levels \(\lambda_{ij}\). From a formal standpoint \(``+''\) can be viewed as maximum. Then the entire construct specifies a fuzzy set defined over a family of the reference fuzzy sets formed by \(B_ j's\) [see also \textit{W. Pedrycz}, Fuzzy control and fuzzy systems, Research Studies Press (J. Wiley, 1989), where the same structure was discussed along with efficient numerical procedures enabling to determine the respective levels of activation \(\lambda_{ij}\) indicated in the above scheme of reasoning]. Relevant algorithmic (execution time, accuracy) and applicational issues are also thoroughly addressed in the context of linguistic synthesis.
Mathematics Subject Classification ID: 94D05
Mathematics Subject Classification ID: 03B52
zbMATH DE Number: 4168400
zbMATH Keywords: reasoning in presence of fuzzy premises
zbMATH Keywords: fuzzy sets
zbMATH Keywords: linguistic synthesis
MaRDI profile type: Publication
cites work: A new approach to approximate reasoning using a fuzzy logic
cites work: Fuzzy power sets and fuzzy implication operators
cites work: Semantics of implication operators and fuzzy relational products
cites work: The influence of some fuzzy implication operators on the accuracy of a fuzzy model. II
cites work: Advances in the linguistic synthesis of fuzzy controllers
cites work: Application of Fuzzy Logic to Approximate Reasoning Using Linguistic Synthesis
cites work: NOTE ON THE ARITHMETIC RULE BY ZADEH FOR FUZZY CONDITIONAL INFERENCE
cites work: Fuzzy sets and their operations, II
cites work: Q3680814
cites work: Comparison of fuzzy reasoning methods
cites work: Fuzzy algorithms
cites work: Similarity relations and fuzzy orderings
cites work: Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
cites work: Fuzzy logic and approximate reasoning
cites work: The concept of a linguistic variable and its application to approximate reasoning. III
full work available at URL: 0165-0114(90)90106-g
OpenAlex ID: W2060189328
Recommended article: Q4736611
Recommended article: A new perspective on reasoning with fuzzy rules
Recommended article: Artificial Intelligence and Soft Computing - ICAISC 2004
Recommended article: A new axiom system of fuzzy logic
Recommended article: Q3716798
Recommended article: A new approach to the identification of a fuzzy model
Recommended article: Q4241983
Recommended article: An Atanassov’s intuitionistic fuzzy reasoning model
Recommended article: A new approach to handling fuzzy decision-making problems
description: scientific article; zbMATH DE number 4168400