Generalized fuzzy interior ideals of semigroups

作者：Zhan, Jianming^*; Jun, Young Bae

来源：Neural Computing & Applications, 2010, 19(4): 515-519.

DOI：10.1007/s00521-009-0302-y

• Semigroup
• Interior ideal
• (prime) (is an element of,is an element of V q)-fuzzy interior ideal
• ((is an element of)over-bar, (is an element of)over-bar (q)over-bar)-fuzzy interior ideal
• Fuzzy interior ideals with thresholds

The concept of ((is an element of) over bar, (is an element of) over bar V (q) over bar)-fuzzy interior ideals of semigroups is introduced and some related properties are investigated. In particular, we describe the relationships among ordinary fuzzy interior ideals, (is an element of, is an element of V q)-fuzzy interior ideals and ((is an element of) over bar, (is an element of) over bar V (q) over bar)-fuzzy interior ideals of semigroups. Finally, we give some characterization of [F](t) by means of (is an element of,is an element of V q)- fuzzy interior ideals.

• 出版日期2010-6
• 单位湖北民族大学