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L-Fuzzy Multiset Recognizer: Determinization and Minimization

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....

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Main Authors: Mallika Dhingra, Mallika Dhingra, Mahesh Kumar Dubey, Mahesh Kumar Dubey, Jacob Kavikumar, Jacob Kavikumar
Format: Article
Language:English
Published: IEEE 2023
Subjects:
T Technology (General)
Online Access:http://eprints.uthm.edu.my/10745/1/J16378_f7227fb5ac9a049e16de2ea379f6b030.pdf
http://eprints.uthm.edu.my/10745/
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spelling my.uthm.eprints.107452024-01-17T01:51:18Z http://eprints.uthm.edu.my/10745/ L-Fuzzy Multiset Recognizer: Determinization and Minimization Mallika Dhingra, Mallika Dhingra Mahesh Kumar Dubey, Mahesh Kumar Dubey Jacob Kavikumar, Jacob Kavikumar T Technology (General) 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. IEEE 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/10745/1/J16378_f7227fb5ac9a049e16de2ea379f6b030.pdf 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.
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Mallika Dhingra, Mallika Dhingra
Mahesh Kumar Dubey, Mahesh Kumar Dubey
Jacob Kavikumar, Jacob Kavikumar
L-Fuzzy Multiset Recognizer: Determinization and Minimization
description 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.
format Article
author Mallika Dhingra, Mallika Dhingra
Mahesh Kumar Dubey, Mahesh Kumar Dubey
Jacob Kavikumar, Jacob Kavikumar
author_facet Mallika Dhingra, Mallika Dhingra
Mahesh Kumar Dubey, Mahesh Kumar Dubey
Jacob Kavikumar, Jacob Kavikumar
author_sort Mallika Dhingra, Mallika Dhingra
title L-Fuzzy Multiset Recognizer: Determinization and Minimization
title_short L-Fuzzy Multiset Recognizer: Determinization and Minimization
title_full L-Fuzzy Multiset Recognizer: Determinization and Minimization
title_fullStr L-Fuzzy Multiset Recognizer: Determinization and Minimization
title_full_unstemmed L-Fuzzy Multiset Recognizer: Determinization and Minimization
title_sort l-fuzzy multiset recognizer: determinization and minimization
publisher IEEE
publishDate 2023
url http://eprints.uthm.edu.my/10745/1/J16378_f7227fb5ac9a049e16de2ea379f6b030.pdf
http://eprints.uthm.edu.my/10745/
_version_ 1789427617328267264
score 13.211869

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