The interactive fuzzy semigroup (RIC,+1/2) and its algebraic structure properties

被引：1
作者：
de Andrade, Allan Edley Ramos [3 ]
Wasques, Vinicius Francisco [1 ,2 ]
机构：
[1] Brazilian Ctr Res Energy & Mat, Ilum Sch Sci, Campinas, Brazil
[2] Sao Paulo State Univ, Dept Math, Rio Claro, Brazil
[3] Univ Fed Mato Grosso do Sul, Tres Lagoas, MS, Brazil
来源：
FUZZY SETS AND SYSTEMS | 2024年 / 486卷
基金：
巴西圣保罗研究基金会;
关键词：
Interactive fuzzy arithmetic; Semigroups; Interactive fuzzy numbers; Fuzzy algebra; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION; ADDITIONS;
D O I：
10.1016/j.fss.2024.108970
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper studies algebraic properties of fuzzy numbers under a specific arithmetic operation denoted by +(1/2). Specifically, this article establishes a new semigroup based on this sum and explores its algebraic properties, as well as homomorphisms between its subsemigroups. Some examples are provided in order to illustrate the results provided here.
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页数：15
相关论文
共 23 条
  • [1] Barros L.C., 2017, A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics, V1, P347
  • [2] Least Square Method with Quasi Linearly Interactive Fuzzy Data: Fitting an HIV Dataset
    Biscaia Pinto, Nilmara J.
    Esmi, Estevao
    Wasques, Vinicius Francisco
    Barros, Laecio C.
    [J]. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, 2019, 1000 : 177 - 189
  • [3] ON THE ALGEBRA OF INTERACTIVE FUZZY NUMBERS
    BUCKLEY, JJ
    [J]. FUZZY SETS AND SYSTEMS, 1989, 32 (03) : 291 - 306
  • [4] Carlsson C, 2004, IEEE INT CONF FUZZY, P535
  • [5] Clifford A.H., 1961, ALGEBRAIC THEORY SEM
  • [6] Nguyen type theorem for extension principle based on a joint possibility distribution
    Coroianu, Lucian
    Fuller, Robert
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2018, 95 : 22 - 35
  • [7] Necessary and sufficient conditions for the equality of interactive and non-interactive extensions of continuous functions
    Coroianu, Lucian
    Fuller, Robert
    [J]. FUZZY SETS AND SYSTEMS, 2018, 331 : 116 - 130
  • [8] Coroianu L, 2016, INT SYMP COMP INTELL, P35, DOI 10.1109/CINTI.2016.7846376
  • [9] Fuzzy differential equations with interactive derivative
    de Barros, Laecio Carvalho
    Pedro, Francielle Santo
    [J]. FUZZY SETS AND SYSTEMS, 2017, 309 : 64 - 80
  • [10] ADDITIONS OF INTERACTIVE FUZZY NUMBERS
    DUBOIS, D
    PRADE, H
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) : 926 - 936
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