Questions of cardinality of finite fuzzy sets

Fuzzy Sets and SystemsPublished 1 March 1999

Maciej Wygralak

DOI10.1016/s0165-0114(97)00097-3

Source URL

Citations35

SJR quartileQ1

SJR score0.75

SNIP1.25

TL;DR

A complete, simple and easily applicable cardinality theory for finite fuzzy sets is presented and problems of arithmetical operations on as well as ordering relation for those cardinals are carefully investigated.

Abstract

In this paper we focus our attention on finite fuzzy sets. A complete, simple and easily applicable cardinality theory for them is presented. Questions of equipotency and non-classically understood cardinal numbers of finite fuzzy sets are discussed in detail. Also, problems of arithmetical operations (addition, subtraction, multiplication, division, and exponentiation) on as well as ordering relation for those cardinals are carefully investigated.

Keywords

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