LA-半群中的区间值（∈,∈∨q）-模糊理想

摘要

Abstruct:We introduce the concept of quansi-coincidence of a fuzzy interval value with an interval valued fuzzy set,propose the notions of interval valued fuzzy LA-subsemigroup and interval valued fuzzy left (right,bi-, interior)ideals of LA-semigroups,generalize them to interval valued (∈,∈ ∨ q )-fuzzy LA-subsemigroup and interval valued (∈,∈∨q)-fuzzy left (right,bi-,interior)ideals,respectively,and study their related properties and equivalent characterizations.In particular,the concept of a fuzzy subgroup with thresholds is generalized to the concept of interval valued fuzzy LA-subsemigroup and interval valued fuzzy left (right,bi-,interior)ideals in LA-semigroups.%引入了模糊区间值与区间值模糊集之重于概念，并利用之提出了 LA-半群的区间值模糊 LA-子半群、区间值模糊左(右、双、内)理想的概念，进而将它们分别推广到区间值(∈，∈∨q)-模糊 LA-子半群、区间值模糊左(右、双、内)理想的情形，研究它们的相关性质之等价刻画。特别地，带有门限的模糊子群的概念被推广到了 LA-半群的区间值模糊 LA-子半群、区间值模糊左(右、双、内)理想中。