L-Fuzzy Multiset Recognizer: Determinization and Minimization

Mallika Dhingra, Mallika Dhingra and Mahesh Kumar Dubey, Mahesh Kumar Dubey and Jacob Kavikumar, Jacob Kavikumar (2023) L-Fuzzy Multiset Recognizer: Determinization and Minimization. IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTATIONAL INTELLIGENCE, 7 (4). pp. 1163-1176.

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Abstract

This research aims to investigate the determinization and minimization problems of a new class of fuzzy recognizers with input as multisets. We begin by introducing and examining the concepts of an L-fuzzy multiset recognizer (L-LMR), complete, accessible, and coaccessible L-LMR over a quantale L. We, then characterize introduced L-LMR with a multiset regular language (MRL). Next, we investigate the method of construction of a complete L-FMR from a given incomplete L-FMR, and show that if K(R) is the MRL recognized by an incomplete L-FMR R, then there is a completion Rc of R such that K(R) = K(Rc). Moreover, we also illustrate these notions with examples. Further, we introduce a new method for the construction of an equivalent deterministic L-fuzzy multiset recognizer (DLMR) from a given L-fuzzy multiset recognizer via L-fuzzy subsets and accessible L-fuzzy subset construction. Furthermore, we characterize introduced DLMR with an L-fuzzy multiset regular languages (L-FMRL). In the last, we introduce the concepts related to minimal DLMR and then we obtain a minimal DLMR for a given L-FMRL.

Item Type: Article
Uncontrolled Keywords: -
Subjects: T Technology > T Technology (General)
Divisions: Faculty of Electrical and Electronic Engineering > FKEE
Depositing User: Mr. Mohamad Zulkhibri Rahmad
Date Deposited: 17 Jan 2024 01:51
Last Modified: 17 Jan 2024 01:51
URI: http://eprints.uthm.edu.my/id/eprint/10745

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