Bipolar Fuzzy Finite State Machines
نویسندگان
چکیده
As a generalization of a fuzzy finite state machine, the notion of a bipolar fuzzy finite state machine is introduced. Also, the concepts of a bipolar (immediate) successor, a bipolar exchange property and a bipolar subsystem are introduced. Some related properties are discussed. A condition for a bipolar fuzzy finite state machine to satisfy the bipolar exchange property is established. A characterization of a bipolar subsystem is initiated. 2010 Mathematics Subject Classification: 68Q70, 68Q45, 18B20, 03E72
منابع مشابه
Homomorphism in Bipolar Fuzzy Finite State Machines
In this paper we introduced homomorphism, strong homomorphism in bipolar fuzzy finite state machines and discuss their properties using bipolar-valued fuzzy set. Mathematics Subject Classification: 18B20, 68Q45, 68Q70, 03E72
متن کاملRestricted cascade and wreath products of fuzzy finite switchboard state machines
A finite switchboard state machine is a specialized finite state machine. It is built by binding the concepts of switching state machines and commutative state machines. The main purpose of this paper is to give a specific algorithm for fuzzy finite switchboard state machine and also, investigates the concepts of switching relation, covering, restricted cascade products and wreath products of f...
متن کاملCartesian Composition in Bipolar Fuzzy Finite State Machines
Dubois. D. , Prade. H. 1980. Fuzzy Sets and Systems. Mathematics in Science and Engineering, Academic Press, New York, 144. Jun. Y. B. , Kavikumar. J. 2011. Bipolar Fuzzy Finite State Machines. Bull. Malays. Sci. Soc. 34 no. 1: 181-188. Kandel. A. , Lee. S. C. Fuzzy Switching and Automata Theory Applications. Edward Arnold Publishers Ltd, London. Lee. K. J. 2000. Bipolar-valued fuzzy sets and t...
متن کاملSubsystem in Bipolar Fuzzy Finite State Machines
Dubois. D. , Prade. H. 1980. Fuzzy Sets and Systems. Mathematics in Science and Engineering, Academic Press, New York, 144. Jun. Y. B. , Kavikumar. J. 2011. Bipolar Fuzzy Finite State Machines. Bull. Malays. Sci. Soc. 34 no. 1: 181-188. Kandel. A. , Lee. S. C. Fuzzy Switching and Automata Theory Applications. Edward Arnold Publishers Ltd, London. Lee. K. J. 2000. Bipolar-valued fuzzy sets and t...
متن کاملCubic finite state machine and cubic transformation semigroups
This paper provides a new generalization of fuzzy finite state machines, fuzzy transformation semigroups and their relationship. Consider a cubic structure, we introduce cubic finite state machines, cubic transformation semigroups, cubic successor, cubic exchange properties cubic subsystems, cubic submachines, cubic q-twins, cubic retrievable and study fundamental properties of them. We provide...
متن کامل