Construction of intuitionistic fuzzy relations with predetermined properties
type: Item
instance of: scholarly article
title: Construction of intuitionistic fuzzy relations with predetermined properties
zbMATH Open document ID: 0951.03047
DOI: 10.1016/S0165-0114(97)00381-3
author: Yanyan Li
published in: Fuzzy Sets and Systems
publication date: 2000-12-17T00:00:00Z
review text: The paper is a continuation of the author's research in the area of Intuitionistic Fuzzy Sets (IFSs) [\textit{K. Atanassov}, Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)] and especially on the Intuitionistic Fuzzy Relations (IFRs) (see, e.g., Zbl 0862.04006, Zbl 0871.04006, Zbl 0872.94061, Zbl 0874.04003, Zbl 0903.04001 and others). Here for the first time the possibility of constructing IFRs with Predetermined Properties (IFRPP) are discussed. The basic properties the IFRPPs are studied. Theorems for constructing reflexive, symmetric, antisymmetric, perfect antisymmetric, transitive and partially included IFRs from fuzzy relations are formulated and proved.
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1423389
zbMATH Keywords: intuitionistic fuzzy relations
zbMATH Keywords: intuitionistic fuzzy sets
reviewed by: Krassimir Atanassov
MaRDI profile type: Publication
full work available at URL: s0165-0114(97)00381-3
OpenAlex ID: W2055514106
description: scientific article; zbMATH DE number 1423389