A fuzzy algebraic system based on the theory of falling shadows

[摘要] Based on the concept of a falling shadow, a theoretical approach of the fuzzy algebraic system is established. A fuzzy subalgebraic system of an algebraic system is considered as a falling shadow of the ''cloud of the subalgebraic systems.'' When an algebraic system is a ring, fuzzy subrings (fuzzy ideas, fuzzy prime ideas) of a ring are seen as falling shadows of ''the cloud of subrings'' (''cloud of ideas,'' ''cloud of prime ideas''). We shall show that fuzzy algebraic systems defined in t-norms are consequences of our definition under certain conditions. (C) 1997 Academic Press.

[发布日期] 1997-04-01