Characterization of some k-regularities of semirings in terms of fuzzy ideals of semirings

被引：2
|
作者：
Kar, Sukhendu [1 ]
Purkait, Sudipta [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 06期
关键词：
Power fuzzy semiring; fuzzy generalized k-bi-ideal; fuzzy interior k-ideal; k-regular semiring; k-intra-regular semiring; HEMIRINGS;
D O I：
10.3233/IFS-141266
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The notion of k-regularity in a semiring generalizes the notion of a regular ring introduced by J. Von Neumaan [15]. In semiring theory, the notion of k-regularity was extensively studied by Sen and Bhuniya [17]. In this paper, we study the concept of k-regularities of a semiring in fuzzy setting and characterize some k-regularities of semirings by using different fuzzy ideals of semirings. We also introduce the concept of power fuzzy semirings and study the notion of k-regularities of power fuzzy semirings with the help of regularities of semigroups.
引用
收藏
页码：3089 / 3101
页数：13
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