Bipolar Fuzzy Finite State Machines

Malaysian Mathematical · Young Bae Jun · Kavikumar Jacob

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Fuzzy and Soft Set Theory semigroups and automata theory Advanced Algebra and Logic

Abstract

kaviphd@gm ail.comAbstract. As a generalization of a fuzzy ﬁnite state machine, the notion of abipolar fuzzy ﬁnite state machine is introduced. Also, the concepts of a bipolar(immediate) successor, a bipolar exchange property and a bipolar subsystem areintroduced. Some related properties are discussed. A condition for a bipolarfuzzy ﬁnite state machine to satisfy the bipolar exchange property is established.Acharacterizationofabipolarsubsystemisinitiated.2010 Mathematics Subject Classiﬁcation: 68Q70, 68Q45, 18B20, 03E72Keywords and phrases: Bipolar fuzzy ﬁnite state machine, bipolar (immedi-ate) successor, bipolar exchange property, bipolar subsystem.

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References

1980Fuzzy Sets and Systems - Theory and Applications 2004Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets

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