On Fuzzy RDM-Arithmetic

被引：19
|
作者：
Piegat, Andrzej [1 ]
Landowski, Marek [2 ]
机构：
[1] West Pomeranian Univ Technol, Zolnierska St 49, PL-71210 Szczecin, Poland
[2] Maritime Univ Szczecin, Waly Chrobrego 1-2, PL-70500 Szczecin, Poland
来源：
HARD AND SOFT COMPUTING FOR ARTIFICIAL INTELLIGENCE, MULTIMEDIA AND SECURITY | 2017年 / 534卷
关键词：
Fuzzy arithmetic; Granular computing; Fuzzy RDM arithmetic; Horizontal membership function; Fuzzy HMF arithmetic; Multidimensional fuzzy arithmetic; HORIZONTAL MEMBERSHIP FUNCTION;
D O I：
10.1007/978-3-319-48429-7_1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The paper presents notion of horizontal membership function (HMF) and based on it fuzzy, relative distance measure (fuzzy RDM) arithmetic that is compared with standard fuzzy arithmetic (SF arithmetic). Fuzzy RDM-arithmetic possess such mathematical properties which allow for achieving complete fuzzy solution sets of problems, whereas SF-arithmetic, in general, delivers only approximate, partial solutions and sometimes no solutions of problems. The paper explains how to realize arithmetic operations with fuzzy RDM-arithmetic and shows examples of its application.
引用
收藏
页码：3 / 16
页数：14
相关论文
共 50 条
  • [21] The Theory of Fuzzy Arithmetic in the Extended Domain of Fuzzy Numbers
    Wang, Yingxu
    JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS, 2014, 3 (02) : 165 - 175
  • [22] A desktop calculator for parametric fuzzy arithmetic
    Sorini, Laerte
    PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 1643 - 1648
  • [23] Cardinality approach to fuzzy number arithmetic
    Piegat, A
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (02) : 204 - 215
  • [24] ARITHMETIC-BASED FUZZY CONTROL
    Dombi, J.
    Szepe, T.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2017, 14 (04): : 51 - 66
  • [25] Inverse arithmetic operators for fuzzy intervals
    Boukezzoula, Reda
    Gallichet, Sylvie
    Foulloy, Laurent
    NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL II, PROCEEDINGS, 2007, : 279 - 286
  • [26] Some new concepts in fuzzy arithmetic
    Saxena, Badal
    Pal, Saibal K.
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2010, 13 (03): : 257 - 270
  • [27] Multidimensional Type 2 Epistemic Fuzzy Arithmetic Based on the Body Definition of the Type 2 Fuzzy Set
    Piegat, Andrzej
    Landowski, Marek
    APPLIED SCIENCES-BASEL, 2021, 11 (13):
  • [28] Application of practical fuzzy arithmetic to fuzzy internal model control
    Vermeiren, Laurent
    Guerra, Thierry Marie
    Lamara, Hakim
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2011, 24 (06) : 1006 - 1017
  • [29] Fuzzy rules and fuzzy functions: A combination of logic and arithmetic operations for fuzzy numbers
    Irion, A
    FUZZY SETS AND SYSTEMS, 1998, 99 (01) : 49 - 56
  • [30] Design and Simulation of a Novel Fuzzy Calculator Based on the Theory of Fuzzy Arithmetic
    Wang, Yingxu
    Lin, Xiaoyu
    JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS, 2015, 4 (02) : 167 - 176
12345