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

被引：2
|
作者：
Sharan, S. [1 ,2 ]
Sharma, B. K. [3 ]
Jacob, Kavikumar [4 ]
机构：
[1] Patliputra Univ, Coll Commerce Arts & Sci, Dept Math, Patna 800020, Bihar, India
[2] Patliputra Univ, Coll Commerce Arts & Sci, PG Ctr, Patna 800020, Bihar, India
[3] Birla Inst Technol, Dept Comp Sci & Engn, Ranchi 834001, Bihar, India
[4] Univ Tun Hussein Onn Malaysia, Dept Math & Stat, Batu Pahat 86400, Malaysia
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 03期
关键词：
Interval type-2 fuzzy set; Interval type-2 fuzzy automata; Interval type-2 fuzzy grammar; Interval type-2 fuzzy languages; LOGIC SYSTEMS; VALUES; MODEL;
D O I：
10.1007/s12190-021-01577-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：22
相关论文
共 50 条
  • [1] Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar
    S. Sharan
    B. K. Sharma
    Kavikumar Jacob
    [J]. Journal of Applied Mathematics and Computing, 2022, 68 : 1505 - 1526
  • [2] INTERVAL TYPE-2 FUZZY ROUGH SETS AND INTERVAL TYPE-2 FUZZY CLOSURE SPACES
    Sharan, S.
    Tiwar, S. P.
    Yadav, V. K.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (03): : 113 - 125
  • [3] An interval type-2 fuzzy perceptron
    Rhee, FCH
    Hwang, C
    [J]. 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
    [J]. FUZZY SETS AND SYSTEMS, 2014, 236 : 1 - 32
  • [5] A new interval type-2 fuzzy controller for stabilization of interval type-2 T-S fuzzy systems
    Zhao, Tao
    Xiao, Jian
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (04): : 1627 - 1648
  • [6] Knowledge reduction by combining interval Type-2 Fuzzy similarity measures and interval Type-2 Fuzzy formal lattice
    Sahar Cherif
    Nesrine Baklouti
    Adel M. Alimi
    [J]. International Journal of Information Technology, 2024, 16 (6) : 3723 - 3728
  • [7] On defuzzification of interval type-2 fuzzy sets
    Starczewski, Janusz T.
    [J]. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2008, PROCEEDINGS, 2008, 5097 : 333 - 340
  • [8] An Interval Type-2 Fuzzy Distribution Network
    Miller, Simon M.
    Popova, Viara
    John, Robert
    Gongora, Mario
    [J]. PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 697 - 702
  • [9] An Entropy of Interval Type-2 Fuzzy Sets
    Zheng, Gao
    Yin, Shiwei
    [J]. MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4, 2013, 321-324 : 1999 - 2003
  • [10] Interval Type-2 Fuzzy Logic Toolbox
    Castro, Juan R.
    Castillo, Oscar
    Martinez, Luis G.
    [J]. ENGINEERING LETTERS, 2007, 15 (01)
12345