关键词: 扰动模糊有限（转换）状态机, （强）同态, 同余关系, 容许关系, 核

Abstract: The concepts of disturbing fuzzy finite switchboard state machines and（strong） homomor-phisms of disturbing fuzzy finite-state machines are introduced, and related properties are investigated. After two congruence relations on the set of all words of elements of [Σ] of finite length are given, the quotient structures are discussed. It is showed that the families of corresponding equivalence classes are finite semigroups with identity, and they are homomorphic as semigroups. Eventually, the notions of admissible relations on [Q] and kernels of strong homomorphisms are introduced, and their related properties are studied.

Key words: disturbing fuzzy finite（switchboard） state machine, （strong） homomorphism, congruence relation, admissible relation, kernel