A new view of fuzzy k-ideals of hemirings

作者：Zhan, Jianming^*; Yin, Yunqiang

来源：Journal of Intelligent and Fuzzy Systems, 2012, 23(5): 169-176.

DOI：10.3233/IFS-2012-0506

• (semiregular and semisimple) hemiring
• (is an element of, is an element of V q)-fuzzy k-ideal
• (is an element of, is an element of V q)-fuzzy k-interior ideal
• ((is an element of)over-bar, (is an element of)over-bar V (q)over-bar)-fuzzy k-ideal
• ((is an element of)over-bar, (is an element of)over-bar V (q)over-bar)-fuzzy k-interior ideal

By means of a kind of new idea, we redefine fuzzy k-ideals and fuzzy k-interior ideals of hemirings. Some new characterization theorems of these kinds of fuzzy ideals of a hemiring are also given. In particular, we show that the semiregular hemirings and semisimple hemirings can be described by using some of their generalized fuzzy k-ideals.

• 出版日期2012
• 单位东华理工大学; 湖北民族大学