Restricted cascade and wreath products of fuzzy finite switchboard state machines
Publish place: Iranian Journal of Fuzzy Systems، Vol: 16، Issue: 1
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-16-1_007
تاریخ نمایه سازی: 17 آبان 1400
Abstract:
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 fuzzy finite switchboard state machines. More precisely, we study that the direct products/Cartesian compositions of two such fuzzy finite switchboard state machines is again a fuzzy finite switchboard state machine. In addition, we introduce the perfect switchboard machine and establish its Cartesian composition. The relations among the products also been examined. Finally, we introduce asynchronous fuzzy finite switchboard state machine and study the switching homomorphic image of asynchronous fuzzy finite switchboard state machine. We illustrate the definition of a restricted product of fuzzy finite switchboard state machine with the single pattern example.
Keywords:
Fuzzy finite state machine , Switchboard , Direct product , Cascade product , Wreath product , Asynchronous
Authors
Kavikumar Jacob
Universiti Tun Hussein Onn Malaysia
S.P. Tiwari
Indian School of Mines Dhanbad
Nor Shamsidah AH
Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia
Shambhu Sharan
DEPARTMENT OF MATHEMATICS, SCHOOL OF ADVANCED SCIENCES, VIT UNIVERSITY, VELLORE-۶۳۲۰۱۴
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