The operations of fuzzy cardinalities
type: Item
instance of: scholarly article
title: The operations of fuzzy cardinalities
zbMATH Open document ID: 0803.04005
author: Pei-Zhuang Wang
author: Vincent C. Yen
author: Hongxing Li
author: E. Stanley Lee
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-07-04T00:00:00Z
review text: This paper continues a previous one of the first two authors and \textit{Luo Chengzhong} [Fuzzy Sets Syst. 55, No. 1, 61-77 (1993; Zbl 0786.04005)]. Basing upon the idea of a fuzzy mapping, the fuzzy cardinality of a fuzzy set is defined. Suitable, but certainly not intuitive, definitions of sum, product and power of fuzzy cardinalities are given and classical results are established and re-found.
reviewed by: Antonio Di Nola
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 584089
zbMATH Keywords: fuzzy mapping
zbMATH Keywords: fuzzy cardinality
zbMATH Keywords: fuzzy set
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1120
OpenAlex ID: W1990217719
DOI: 10.1006/JMAA.1994.1120
description: scientific article; zbMATH DE number 584089