Axiomatic theory of intuitionistic fuzzy sets
type: Item
instance of: scholarly article
title: Axiomatic theory of intuitionistic fuzzy sets
zbMATH Open document ID: 0944.03050
DOI: 10.1016/S0165-0114(98)00010-4
author: Mustafa Demirci
published in: Fuzzy Sets and Systems
publication date: 2000-05-28T00:00:00Z
review text: The first attempt for an axiomatization of the theory of intuitionistic fuzzy sets (IFSs) [see \textit{K. Atanassov}, ibid. 20, 87--96 (1986; Zbl 0631.03040)] is made. The axioms are related to the IFSs, to the relations over them, and to the modal-type operators (\(\square\) and \(\lozenge\)) defined over them. The present account determines the direction of future research related to the axiomatization of the topological operators, to the extended modal operators and to the level operators defined over the IFSs.
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1423471
zbMATH Keywords: axiomatization
zbMATH Keywords: intuitionistic fuzzy sets
reviewed by: Krassimir Atanassov
MaRDI profile type: Publication
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full work available at URL: s0165-0114(98)00010-4
OpenAlex ID: W2080827609
description: scientific article; zbMATH DE number 1423471