Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar
The purpose of the present work is to introduce and study the concept of interval type-2 (IT2) fuzzy grammar which recognizes the given IT2 fuzzy languages. The relationship between IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars is discussed. Specifically, the results we obtained here a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2021
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| Online Access: | http://eprints.uthm.edu.my/3459/ http://eprints.uthm.edu.my/3459/1/J12661_25db18ed0bd088afdab4609d4647d074.pdf |
| _version_ | 1848888025381076992 |
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| author | Sharan, S. Sharma, B. K. Kavikumar, Jacob |
| author_facet | Sharan, S. Sharma, B. K. Kavikumar, Jacob |
| author_sort | Sharan, S. |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | The purpose of the present work is to introduce and study the concept of interval
type-2 (IT2) fuzzy grammar which recognizes the given IT2 fuzzy languages. The
relationship between IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars is
discussed. Specifically, the results we obtained here are (i ) IT2 fuzzy weak regular
grammar and IT2 fuzzy regular grammar generate the same classes of IT2 fuzzy
languages (ii ) for a given IT2 fuzzy regular grammars, there exists an IT2 fuzzy
automata such that they accept the same IT2 fuzzy languages, and vice versa. In
addition, we define some operations on IT2 fuzzy languages and it is shown that IT2
fuzzy languages recognized by IT2 fuzzy automata are closed under the operations
of union, intersection, concatenation and Kleene closure, but are not closed under
complement. |
| first_indexed | 2025-11-15T20:03:43Z |
| format | Article |
| id | uthm-3459 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:03:43Z |
| publishDate | 2021 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-34592021-11-17T07:32:37Z http://eprints.uthm.edu.my/3459/ Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar Sharan, S. Sharma, B. K. Kavikumar, Jacob QA71-90 Instruments and machines The purpose of the present work is to introduce and study the concept of interval type-2 (IT2) fuzzy grammar which recognizes the given IT2 fuzzy languages. The relationship between IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars is discussed. Specifically, the results we obtained here are (i ) IT2 fuzzy weak regular grammar and IT2 fuzzy regular grammar generate the same classes of IT2 fuzzy languages (ii ) for a given IT2 fuzzy regular grammars, there exists an IT2 fuzzy automata such that they accept the same IT2 fuzzy languages, and vice versa. In addition, we define some operations on IT2 fuzzy languages and it is shown that IT2 fuzzy languages recognized by IT2 fuzzy automata are closed under the operations of union, intersection, concatenation and Kleene closure, but are not closed under complement. Springer 2021 Article PeerReviewed text en http://eprints.uthm.edu.my/3459/1/J12661_25db18ed0bd088afdab4609d4647d074.pdf Sharan, S. and Sharma, B. K. and Kavikumar, Jacob (2021) Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar. Journal of Applied Mathematics and Computing. https://doi.org/10.1007/s12190-021-01577-y |
| spellingShingle | QA71-90 Instruments and machines Sharan, S. Sharma, B. K. Kavikumar, Jacob Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar |
| title | Interval type-2 fuzzy automata and Interval type-2 fuzzy
grammar |
| title_full | Interval type-2 fuzzy automata and Interval type-2 fuzzy
grammar |
| title_fullStr | Interval type-2 fuzzy automata and Interval type-2 fuzzy
grammar |
| title_full_unstemmed | Interval type-2 fuzzy automata and Interval type-2 fuzzy
grammar |
| title_short | Interval type-2 fuzzy automata and Interval type-2 fuzzy
grammar |
| title_sort | interval type-2 fuzzy automata and interval type-2 fuzzy
grammar |
| topic | QA71-90 Instruments and machines |
| url | http://eprints.uthm.edu.my/3459/ http://eprints.uthm.edu.my/3459/ http://eprints.uthm.edu.my/3459/1/J12661_25db18ed0bd088afdab4609d4647d074.pdf |