New types of fuzzy ideals of near-rings

作者：Zhan, Jianming^*; Yin, Yunqiang

来源：Neural Computing & Applications, 2012, 21(5): 863-868.

DOI：10.1007/s00521-011-0570-1

• Near-ring
• Subnear-ring (ideal)
• Prime ideal
• Prime (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy subnear-ring (ideal)
• ((is an element of)over-bar(gamma), (is an element of)over-bar(gamma) boolean OR (q)over-bar(delta))-fuzzy subnear-ring (ideal)

In this paper, we consider the (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy and ((is an element of) over bar (gamma), (is an element of) over bar (gamma) boolean OR (q) over bar (delta))-fuzzy subnear-rings (ideals) of a near-ring. Some new characterizations are also given. In particular, we introduce the concepts of (strong) prime (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy ideals of near-rings and discuss the relationship between strong prime (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy ideals and prime (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy ideals of near-rings.

• 出版日期2012-7
• 单位东华理工大学; 湖北民族大学