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Soft Computing

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01.04.2010 | Original Paper

IF-topologies and IF-automata

verfasst von: Arun K. Srivastava, S. P. Tiwari

Erschienen in: Soft Computing | Ausgabe 6/2010

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Abstract

The purpose of this work is to indicate that a study of IF-automata (also called, intuitionistic fuzzy automata) can be carried out much on the same lines as the one done for fuzzy automata in Srivastava and Tiwari (Proceedings of 2002 AFSS international conference on fuzzy systems. Lecture notes in artificial intelligence, vol 2275. Springer, Berlin, pp 485–490, 2002). It is also shown that two IF-topologies (also called, intuitionistic fuzzy topologies) can be associated with the state-sets of IF-fuzzy automata whose level topologies have interesting relationships with the topologies introduced by Srivastava and Tiwari (above mentioned) for fuzzy automata.

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A saturated topology is one which is closed under arbitrary intersections also.

An IF-closure operator \(c:IFS(X)\rightarrow IFS(X)\) on X is being called here saturated if the (usual) requirement \(c(u \vee v) = c(u) \vee c(v)\) is replaced by \(c(\vee u_j) = \vee c(u_j)\), where \(u, v, u_j \in IFS(X),\ j\in J\).

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Titel: IF-topologies and IF-automata
verfasst von: Arun K. Srivastava
S. P. Tiwari
Publikationsdatum: 01.04.2010
Verlag: Springer-Verlag
Erschienen in: Soft Computing / Ausgabe 6/2010
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-009-0427-z

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