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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IEEE
2023
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| Online Access: | http://eprints.uthm.edu.my/10745/1/J16378_f7227fb5ac9a049e16de2ea379f6b030.pdf http://eprints.uthm.edu.my/10745/ |
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| 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 |
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| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| 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 |
| id | my.uthm.eprints-10745 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2023 |
| publisher | IEEE |
| record_format | eprints |
| 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. |
| 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 |
| title | 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_short | L-Fuzzy Multiset Recognizer: Determinization and Minimization |
| title_sort | l-fuzzy multiset recognizer: determinization and minimization |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/10745/1/J16378_f7227fb5ac9a049e16de2ea379f6b030.pdf http://eprints.uthm.edu.my/10745/ |
| url_provider | http://eprints.uthm.edu.my/ |