THE OPERATIONS OF FUZZY CARDINALITIES

被引：1
|
作者：
LI, HX
WANG, PZ
LEE, ES
YEN, VC
机构：
[1] KANSAS STATE UNIV AGR & APPL SCI,DEPT IND ENGN,MANHATTAN,KS 66506
[2] BEIJING NORMAL UNIV,DEPT MATH,BEIJING 100875,PEOPLES R CHINA
[3] NATL UNIV SINGAPORE,INST SYST SCI,SINGAPORE 0511,SINGAPORE
[4] WRIGHT STATE UNIV,DAYTON,OH 45435
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 182卷 / 03期
关键词：
D O I：
10.1006/jmaa.1994.1120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Due to the difficulties involved in defining the cardinalities of fuzzy sets, the research on this subject has been advancing very slowly. In an earlier paper, we gave a much more appropriate definition. Thus, we not only obtained most of the results with respect to the cardinalities in Cantor's set theory, but also succeeded in obtaining many new properties of the cardinalities of fuzzy sets. In this paper, the operations of the cardinalities of fuzzy sets, including the sum, the product, and the power, are discussed in detail. (C) 1994 Academic Press, Inc.
引用
收藏
页码：768 / 778
页数：11
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