Q-代数的区间值(■,■]-模糊子代数(英文)

Interval Valued((■,■]]-fuzzy Subalgebras of Q-algebras

模糊区间值与区间值模糊集的重于关系概念被考虑,这种关系是模糊点与模糊集的重于关系的推广.利用这种新的思想,引入了Q-代数的区间值(∈,∈∨q)-模糊子代数和区间值(∈,∈∨q-)-模糊子代数的概念,推广了Q-代数的模糊子代数,并研究了它们的相关性质.特别地,界限模糊子群之概念被扩展到Q-代数的界限区间值模糊子代数的概念上来.

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered.In fact,this is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set.By using this new idea,the notions of interval valued （∈,∈∨q）-fuzzy subalgebras and（∈-,∈-∨q-D）-fuzzy subalgebras of Q-algebras which are two generalizations of fuzzy subalgebras of Q-algebras,are introduced,and related properties are investigated.In particular,the concept of a fuzzy subgroup with thresholds is extended to the concept of an interval valued fuzzy subalgebra of Q-algebras with thresholds.