Characterization of the Ranking Indices of Triangular Fuzzy Numbers

被引：0
作者：
Ban, Adrian I. [1 ]
Coroianu, Lucian [1 ]
机构：
[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania
来源：
INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, PT II | 2014年 / 443卷
关键词：
Fuzzy number; Triangular fuzzy number; Ranking;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We find necessary and sufficient conditions for a ranking index defined on the set of triangular fuzzy numbers as a linear combination of its components to rank effectively. Then, based on this result, we characterize the class of ranking indices which generates orderings on triangular fuzzy numbers satisfying the basic requirements by Wang and Kerre in a slightly modified form.
引用
收藏
页码：254 / 263
页数：10
相关论文
共 50 条
  • [21] Fuzzy dissimilarities and the fuzzy Choquet integral of triangular fuzzy numbers on [0,1]
    de Hierro, A. F. Roldan Lopez
    Cruz, A.
    Santiago, R. H. N.
    Roldan, C.
    Garcia-Zamora, D.
    Neres, F.
    Bustince, H.
    FUZZY SETS AND SYSTEMS, 2025, 505
  • [22] Weighted triangular approximation of fuzzy numbers
    Zeng, Wenyi
    Li, Hongxing
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2007, 46 (01) : 137 - 150
  • [23] Comparison of Fuzzy Numbers with Ranking Fuzzy and Real Number
    Yaghobi, M.
    Rabbani, M.
    Firozja, M. Adabitabar
    Vahidi, J.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 12 (01): : 65 - 72
  • [24] A novel fuzzy methodology applied for ranking trapezoidal fuzzy numbers and new properties
    Lopez de Hierro, Antonio Francisco Roldan
    Marquez Montavez, Antonio
    Roldan, Concepcion
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (1-2) : 358 - 386
  • [25] ON HAMACHER SUM OF TRIANGULAR FUZZY NUMBERS
    FULLER, R
    FUZZY SETS AND SYSTEMS, 1991, 42 (02) : 205 - 212
  • [26] Application of Half-Circle Fuzzy Numbers and Development of Triangular Fuzzy Numbers to Fuzzy Control
    Lee, Wan-, I
    Chen, Cheng-Wu
    Chen, Chen-Yuan
    Sui, Yi-Chaio
    SELECTED TOPICS IN APPLIED COMPUTER SCIENCE, 2010, : 335 - +
  • [27] A Comparative Study of Ranking Fuzzy Numbers Based on RegularWeighted Function
    Saneifard, R.
    Allahviranloo, T.
    FUZZY INFORMATION AND ENGINEERING, 2012, 4 (03) : 235 - 248
  • [28] Ranking fuzzy numbers based on the mean and fuzzy degree of fuzzy number
    Wang, Guixiang
    Zhou, Guangtao
    ADVANCES IN MANUFACTURING TECHNOLOGY, PTS 1-4, 2012, 220-223 : 2102 - 2108
  • [29] Process Capability Indices as Fuzzy Numbers
    Parchami, Abbas
    Mashinchi, Mashaallah
    Yavari, Ali Reza
    Maleki, Hamid Reza
    AUSTRIAN JOURNAL OF STATISTICS, 2005, 34 (04) : 391 - 402
  • [30] Application of weighting functions to the ranking of fuzzy numbers
    Saeidifar, A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) : 2246 - 2258
12345