Properties of Interval-Valued Fuzzy Relations, Atanassov's Operators and Decomposable Operations

被引:0
作者
Pekala, Barbara [1 ]
机构
[1] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
来源
INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: THEORY AND METHODS, PT 1 | 2010年 / 80卷
关键词
Fuzzy relations; interval-valued fuzzy relations; Atanassov's operators; decomposable operations; SET-THEORY; MATRICES;
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
In this paper we study properties of interval-valued fuzzy relations which were introduced by L.A. Zadeh in 1975. Fuzzy set theory turned out to be a useful tool to describe situations in which the data are imprecise or vague. Interval-valued fuzzy set theory is a generalization of fuzzy set theory which was introduced also by Zadeh in 1965. We examine some properties of interval-valued fuzzy relations in the context of Atanassov's operators and decomposable operations in interval-valued fuzzy set theory.
引用
收藏
页码:647 / 655
页数:9
相关论文
共 25 条
  • [1] AGUSTENCH E, 1999, MATHWARE SOFT COMPUT, V6, P267
  • [2] [Anonymous], 2010, Intuitionistic Fuzzy Sets: Theory and Applications
  • [3] INTERVAL VALUED INTUITIONISTIC FUZZY-SETS
    ATANASSOV, K
    GARGOV, G
    [J]. FUZZY SETS AND SYSTEMS, 1989, 31 (03) : 343 - 349
  • [4] BIRKHOFF G, 1967, AMS C PUBL, V25
  • [5] Burillo P., 1995, Mathw Soft Comput, V2, P117
  • [6] Generation of interval-valued fuzzy and Atanassov's intuitionistic fuzzy connectives from fuzzy connectives and from Kα operators:: Laws for conjunctions and disjunctions, amplitude
    Bustince, H.
    Barrenechea, E.
    Pagola, M.
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2008, 23 (06) : 680 - 714
  • [7] Interval-valued fuzzy sets constructed from matrices: Application to edge detection
    Bustince, H.
    Barrenechea, E.
    Pagola, M.
    Fernandez, J.
    [J]. FUZZY SETS AND SYSTEMS, 2009, 160 (13) : 1819 - 1840
  • [8] Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning
    Bustince, H
    Burillo, P
    [J]. FUZZY SETS AND SYSTEMS, 2000, 113 (02) : 205 - 219
  • [9] On the representation of intuitionistic fuzzy t-norms and t-conorms
    Deschrijver, G
    Cornelis, C
    Kerre, EE
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 45 - 61
  • [10] On the relationship between some extensions of fuzzy set theory
    Deschrijver, G
    Kerre, EE
    [J]. FUZZY SETS AND SYSTEMS, 2003, 133 (02) : 227 - 235