Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar

被引：0
|
作者：
S. Sharan
B. K. Sharma
Kavikumar Jacob
机构：
[1] Patliputra University,Department of Mathematics & P.G. Centre, College of Commerce, Arts & Science, Patna
[2] Birla Institute of Technology,Department of Computer Science and Engineering
[3] Universiti Tun Hussein Onn Malaysia,Department of Mathematics and Statistics
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Interval type-2 fuzzy set; Interval type-2 fuzzy automata; Interval type-2 fuzzy grammar; Interval type-2 fuzzy languages;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：1505 / 1526
页数：21
相关论文
共 50 条
  • [1] Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar
    Sharan, S.
    Sharma, B. K.
    Jacob, Kavikumar
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (03) : 1505 - 1526
  • [2] INTERVAL TYPE-2 FUZZY ROUGH SETS AND INTERVAL TYPE-2 FUZZY CLOSURE SPACES
    Sharan, S.
    Tiwar, S. P.
    Yadav, V. K.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (03): : 113 - 125
  • [3] An interval type-2 fuzzy perceptron
    Rhee, FCH
    Hwang, C
    PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOL 1 & 2, 2002, : 1331 - 1335
  • [4] On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
    Hu, Bao Qing
    Wang, Chun Yong
    FUZZY SETS AND SYSTEMS, 2014, 236 : 1 - 32
  • [5] Knowledge reduction by combining interval Type-2 Fuzzy similarity measures and interval Type-2 Fuzzy formal lattice
    Cherif S.
    Baklouti N.
    Alimi A.M.
    International Journal of Information Technology, 2024, 16 (6) : 3723 - 3728
  • [6] A new interval type-2 fuzzy controller for stabilization of interval type-2 T-S fuzzy systems
    Zhao, Tao
    Xiao, Jian
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (04): : 1627 - 1648
  • [7] On the Variance of Interval Type-2 Fuzzy Sets
    Figueroa-Garcia, Juan Carlos
    Ramos-Cuesta, Jennifer Soraya
    Hernandez-Perez, German
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (07) : 2320 - 2330
  • [8] Uncertainty in Interval Type-2 Fuzzy Systems
    Aminifar, Sadegh
    Marzuki, Arjuna
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [9] Simplified Interval Type-2 Fuzzy CMAC
    Chang, Chia-Wen
    Xiao, Wen-Rong
    Hsiao, Chih-Ching
    Chen, Song-Shyong
    Tao, Chin-Wang
    2017 JOINT 17TH WORLD CONGRESS OF INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND 9TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND INTELLIGENT SYSTEMS (IFSA-SCIS), 2017,
  • [10] On defuzzification of interval type-2 fuzzy sets
    Starczewski, Janusz T.
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2008, PROCEEDINGS, 2008, 5097 : 333 - 340
12345