On Computing Normalized Interval Type-2 Fuzzy Sets

被引:17
|
作者
Mendel, Jerry M. [1 ]
Rajati, Mohammad Reza [1 ]
机构
[1] Univ So Calif, Ming Hsieh Dept Elect Engn, Signal & Image Proc Inst, Los Angeles, CA 90089 USA
关键词
Fuzzy weighted average (FWA); interval type-2 fuzzy sets (IT2 FSs); interval weighted average (IWA); linguistic probability; linguistic weighted average (LWA); normalized interval type-2 fuzzy sets; WEIGHTED AVERAGES; SYSTEMS;
D O I
10.1109/TFUZZ.2013.2280133
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper explains how to compute normalized interval type-2 fuzzy sets in closed form and explains how the results reduce to well-known results for type-1 fuzzy sets and interval sets. Such normalized interval type-2 fuzzy sets may be needed in linguistic probability computations or multiple criteria decision analysis under uncertainty.
引用
收藏
页码:1335 / 1340
页数:6
相关论文
共 50 条
  • [1] INTERVAL TYPE-2 FUZZY ROUGH SETS AND INTERVAL TYPE-2 FUZZY CLOSURE SPACES
    Sharan, S.
    Tiwar, S. P.
    Yadav, V. K.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (03): : 113 - 125
  • [2] Short Remark on Fuzzy Sets, Interval Type-2 Fuzzy Sets, General Type-2 Fuzzy Sets and Intuitionistic Fuzzy Sets
    Castillo, Oscar
    Melin, Patricia
    Tsvetkov, Radoslav
    Atanassov, Krassimir T.
    [J]. INTELLIGENT SYSTEMS'2014, VOL 1: MATHEMATICAL FOUNDATIONS, THEORY, ANALYSES, 2015, 322 : 183 - 190
  • [3] On defuzzification of interval type-2 fuzzy sets
    Starczewski, Janusz T.
    [J]. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2008, PROCEEDINGS, 2008, 5097 : 333 - 340
  • [4] On the Variance of Interval Type-2 Fuzzy Sets
    Figueroa-Garcia, Juan Carlos
    Ramos-Cuesta, Jennifer Soraya
    Hernandez-Perez, German
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (07) : 2320 - 2330
  • [5] An Entropy of Interval Type-2 Fuzzy Sets
    Zheng, Gao
    Yin, Shiwei
    [J]. MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4, 2013, 321-324 : 1999 - 2003
  • [6] On interval type-2 rough fuzzy sets
    Zhang, Zhiming
    [J]. KNOWLEDGE-BASED SYSTEMS, 2012, 35 : 1 - 13
  • [7] Constrained Interval Type-2 Fuzzy Sets
    D'Alterio, Pasquale
    Garibaldi, Jonathan M.
    John, Robert, I
    Pourabdollah, Amir
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (05) : 1212 - 1225
  • [8] Approximation of Fuzzy Sets by Interval Type-2 Trapezoidal Fuzzy Sets
    Shen, Yinghua
    Pedrycz, Witold
    Wang, Xianmin
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (11) : 4722 - 4734
  • [9] Extending Similarity Measures of Interval Type-2 Fuzzy Sets to General Type-2 Fuzzy Sets
    McCulloch, Josie
    Wagner, Christian
    Aickelin, Uwe
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [10] On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
    Hu, Bao Qing
    Wang, Chun Yong
    [J]. FUZZY SETS AND SYSTEMS, 2014, 236 : 1 - 32