• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.457-466
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• 2005

In this paper we present the concepts of fuzzy submachine, which are the generalized form of crisp submachine of a fuzzy finite state machine. Also we extend the concepts of system of generators to fuzzified form.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.315-325
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• 2006

The notion of intuitionistic fuzzy finite switchboard state machines and (strong) homomorphisms of intuitionistic fuzzy finite state machines are introduced, and related properties are investigated. After we give a congruence relation on the set of all words of elements of X of finite length, the quotient structure is discussed. We show that the family of equivalence classes is a finite semigroup with identity.

• 한국지능시스템학회논문지
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• 제11권2호
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• pp.156-160
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• 2001

In this paper we define fuzzy subsystems of a fuzzy finite state machine by using maps $S^{\alpha}$ of each state subset to its all $\alpha$-successors, which is a natural generalization of crisp submachines as fuzzy. And the corresponding concepts are also examined. also examined.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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• pp.80-82
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• 1998

we introduce the concept of coverings, direct products, cascade products and wreath products of T-fuzzy finite state machines and investigate their algebraic structures.

• Journal of applied mathematics & informatics
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• 제8권1호
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• pp.273-283
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• 2001

We introduce sums and joins of T-fuzzy transformation semi-groups and investigate their algebraic structures.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권2호
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• pp.53-61
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• 2001

We introduce sums and joins of fuzzy finite state machines and investigate their algebraic structures.

• 한국지능시스템학회논문지
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• 제11권2호
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• pp.173-177
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• 2001

We introduce cascade products, wreath products, sums and joins of TL-finite state machines and investigate their algebraic structures. Also we study the relations with other products of TL-finite state machines.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.109-120
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• 2005

Using the notion of intuitionistic fuzzy sets, the concepts of intuitionistic fuzzy finite state machines (iffsm), intuitionistic successor s, intuitionistic subsystems, intuitionistic submachines, intuitionistic q-twins, and intuitionistic retrievable iffsm are introduce d, and related properties are studied. Relations between intuitionistic q-twins and intuitionistic q-related iffsm are given. A characterization of an intuitionistic retrievable iffsm is provided.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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• pp.25-28
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• 2001

We introduce sums and joins of fuzzy finite state machines and investigate their algebraic structures.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.553-561
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• 2007

In this paper we propose the concept of fuzzy basis of fuzzy submachine, which is the generalized form of crisp basis of submachine, and we extend the system of generators and free subset to fuzzy forms, from which we prove that minimal system of fuzzy generators, maximally free fuzzy subset, and fuzzy basis are equivalent forms.