A new view of fuzzy hyperquasigroups

作者：Zhan J^*; Davvaz B; Shum K P

来源：Journal of Intelligent and Fuzzy Systems, 2009, 20(4-5): 147-157.

DOI：10.3233/IFS-2009-0423

• Hyperquasigroup
• Interval valued (alpha, beta)-fuzzy sub-hyperquasigroup
• Interval valued (is an element of, is an element of boolean OR q)-fuzzy sub-hyperquasigroup
• Fuzzy logic
• Implication operator

This paper concerns a relationship between fuzzy sets and algebraic hyperstructures. It is a continuation of ideas presented by Davvaz(Fuzy Sets Syst. 101: 191-195 1999) and Bhakat and Das(Fuzzy Sets Syst. 80: 359-368 1996). The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set, which is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set, is introduced. Using this new idea, the notion of interval valued (alpha, beta)-fuzzy sub-hyperquasigroups in a hyperquasigroup, which is a generalization of a fuzzy sub-quasigroup, is defined, and related properties are investigated. In particular, the study of interval valued (is an element of, is an element of boolean OR q)-fuzzy sub-hyperquasigroups in a hyperquasigroup is dealt with. Finally. we consider the concept of implication-based interval valued fuzzy sub-hyperquasigroups in a hyperquasigroup.

• 出版日期2009
• 单位湖北民族大学