A calculus for intuitionistic fuzzy values

被引:1
|
作者
Yavuz, Enes [1 ]
机构
[1] Manisa Celal Bayar Univ, Dept Math, Manisa, Turkiye
关键词
Intuitionistic fuzzy sets; fuzzy sets; multiplicative calculus; MULTIPLICATIVE CALCULUS; OPERATIONS;
D O I
10.55730/1300-0098.3392
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce circle plus calculus and circle times calculus for intuitionistic fuzzy values and prove some basic theorems by using multiplicative calculus which has useful tools to represent the concepts of introduced calculi. Besides, we construct some isomorphic mappings to interpret the relationships between circle plus calculus and circle times calculus. This paper reveals also new calculi for fuzzy sets in particular.
引用
收藏
页码:746 / 768
页数:24
相关论文
共 50 条
  • [1] Intuitionistic fuzzy relational calculus: An overview
    Cornelis, C
    Deschrijver, G
    De Cock, M
    Kerre, E
    2002 FIRST INTERNATIONAL IEEE SYMPOSIUM INTELLIGENT SYSTEMS, VOL 1, PROCEEDINGS, 2002, : 340 - 345
  • [2] Fundamental properties of intuitionistic fuzzy calculus
    Lei, Qian
    Xu, Zeshui
    KNOWLEDGE-BASED SYSTEMS, 2015, 76 : 1 - 16
  • [3] Chain and Substitution Rules of Intuitionistic Fuzzy Calculus
    Lei, Qian
    Xu, Zeshui
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (03) : 519 - 529
  • [4] Line Integrals of Intuitionistic Fuzzy Calculus and Their Properties
    Ai, Zhenghai
    Xu, Zeshui
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (03) : 1435 - 1446
  • [5] Intuitionistic Fuzzy Calculus Based on Einstein Operations
    Guo, Changhong
    Fang, Shaomei
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2021, 29 (01) : 145 - 178
  • [6] Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space
    Debnath, Pradip
    Sen, Mausumi
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (06) : 2983 - 2991
  • [7] Calculus of new intuitionistic fuzzy generator: In generated intuitionistic fuzzy sets and its applications in medical diagnosis
    Dhiman, Nitesh
    Sharma, M. K.
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2020, 7 (10): : 125 - 130
  • [8] A SIMILARITY MEASURE BETWEEN INTUITIONISTIC FUZZY VALUES
    Chen, Shyi-Ming
    Randyanto, Yonathan
    PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOLS 1-4, 2013, : 1125 - 1129
  • [9] Lexicographic Orders of Intuitionistic Fuzzy Values and Their Relationships
    Feng, Feng
    Liang, Meiqi
    Fujita, Hamido
    Yager, Ronald R.
    Liu, Xiaoyan
    MATHEMATICS, 2019, 7 (02)
  • [10] A Euclidean Approach for Ranking Intuitionistic Fuzzy Values
    Xing, Zhaojun
    Xiong, Wei
    Liu, Hailin
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (01) : 353 - 365