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
  • [31] A concrete reformulation of fuzzy arithmetic
    Ngan, Shing-Chung
    EXPERT SYSTEMS WITH APPLICATIONS, 2021, 167
  • [32] An approach to inverse fuzzy arithmetic
    Hanss, M
    NAFIPS'2003: 22ND INTERNATIONAL CONFERENCE OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY - NAFIPS PROCEEDINGS, 2003, : 474 - 479
  • [33] FUZZY ARITHMETIC ON SYSTOLIC ARRAYS
    DHRIF, H
    SARKAR, D
    PARALLEL COMPUTING, 1993, 19 (11) : 1283 - 1301
  • [34] ON THE LACK OF INVERSES IN FUZZY ARITHMETIC
    YAGER, RR
    FUZZY SETS AND SYSTEMS, 1980, 4 (01) : 73 - 82
  • [35] Interpolative model for fuzzy arithmetic
    Ramer, A
    Bouchon-Meunier, B
    Nicoletti, MD
    Marsala, C
    Rifqi, M
    NINTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2000), VOLS 1 AND 2, 2000, : 633 - 635
  • [36] Irrelevance in incomplete fuzzy arithmetic
    Franzoi, Laura
    PROCEEDINGS OF 2016 18TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC), 2016, : 287 - 291
  • [37] Why Multidimensional Fuzzy Arithmetic?
    Piegat, Andrzej
    Landowski, Marek
    13TH INTERNATIONAL CONFERENCE ON THEORY AND APPLICATION OF FUZZY SYSTEMS AND SOFT COMPUTING - ICAFS-2018, 2019, 896 : 16 - 23
  • [38] Fuzzy arithmetic with requisite constraints
    Klir, GJ
    FUZZY SETS AND SYSTEMS, 1997, 91 (02) : 165 - 175
  • [39] φ-calculus:: A new fuzzy arithmetic
    Lamara, H.
    Vermeiren, L.
    Roger, D.
    2006 IEEE CONFERENCE ON EMERGING TECHNOLOGIES & FACTORY AUTOMATION, VOLS 1 -3, 2006, : 599 - +
  • [40] Fuzzy arithmetic for type-2 fuzzy vectors
    Liu, Yankui
    Wang, Guoli
    PROCEEDING OF THE SEVENTH INTERNATIONAL CONFERENCE ON INFORMATION AND MANAGEMENT SCIENCES, 2008, 7 : 272 - 276
12345