Fuzzy relation and fuzzy function over fuzzy sets: a retrospective

被引：13

作者：

Dutta, Soma ^{[1
]}

Chakraborty, Mihir K. ^{[2
,3
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

[2] Jadavpur Univ, Kolkata, India

[3] Indian Stat Inst, Kolkata, India

来源：

SOFT COMPUTING | 2015年 / 19卷 / 01期

关键词：

Fuzzy relation; Fuzzy function; Homorelation; Morphism; RELATION EQUATIONS; EQUIVALENCE;

D O I：

10.1007/s00500-014-1356-z

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, some earlier results dealing with fuzzy relations on fuzzy sets by one of the present authors are recapitulated to clarify the motivational background of the present study. Then concepts like fuzzy homorelation, correlation, cohomorelation, fuzzy function and fuzzy morphism are introduced and discussed. The presentation is uniform and integrated in the sense that every concept is developed on fuzzy set as base and is organized from the angle of foundational aspects of fuzzy set theory.

引用

页码：99 / 112

页数：14

共 37 条

[1] ON NEW TYPES OF HOMOMORPHISMS AND CONGRUENCES FOR PARTIAL ALGEBRAIC STRUCTURES AND N-ARY RELATIONS [J].