Some Remarks About Idempotent Uninorms on Complete Lattice

被引：2
作者：
Drygas, Pawel [1 ]
机构：
[1] Univ Rzeszow, Interdisciplinary Ctr Computat Modelling, Pigonia 1, PL-35310 Rzeszow, Poland
来源：
ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 1 | 2018年 / 641卷
关键词：
Uninorms; Aggregation operators; Complete lattice; Idempotent operations; FUZZY-SET-THEORY; AGGREGATION OPERATORS; MONOTONIC OPERATIONS; BOUNDED LATTICES;
D O I：
10.1007/978-3-319-66830-7_57
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 the properties of idempotent uninorms on the lattice, that are one of the binary operations. It is shown that in any lattice idempotent uninorms need not be internal (with the extended definition of the term "internal"). But with additional assumptions, we get that the uninorm is locally internal. With this assumption, we present the theorem of Czogala and Drewniak for a complete lattice. Moreover, many properties of idempotent uninorm in this case is shown.
引用
收藏
页码：648 / 657
页数：10
相关论文
共 20 条
  • [1] On the T-partial order and properties
    Asici, Emel
    Karacal, Funda
    [J]. INFORMATION SCIENCES, 2014, 267 : 323 - 333
  • [2] Birkhoff G., 1967, Amer. Math. Soc. Colloq. Publ.
  • [3] Cayli G. D., INF SCI UNPUB
  • [4] On a new class of uninorms on bounded lattices
    Cayli, Gul Deniz
    Karacal, Funda
    Mesiar, Radko
    [J]. INFORMATION SCIENCES, 2016, 367 : 221 - 231
  • [5] ASSOCIATIVE MONOTONIC OPERATIONS IN FUZZY SET-THEORY
    CZOGALA, E
    DREWNIAK, J
    [J]. FUZZY SETS AND SYSTEMS, 1984, 12 (03) : 249 - 269
  • [6] Idempotent uninorms
    De Baets, B
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 118 (03) : 631 - 642
  • [7] IDEMPOTENT UNINORMS ON FINITE ORDINAL SCALES
    De Baets, Bernard
    Fodor, Janos
    Ruiz-Aguilera, Daniel
    Torrens, Joan
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2009, 17 (01) : 1 - 14
  • [8] Uniforms which are neither conjunctive nor disjunctive in interval-valued fuzzy set theory
    Deschrijver, Glad
    [J]. INFORMATION SCIENCES, 2013, 244 : 48 - 59
  • [9] On a class of uninorms
    Drewniak, J
    Drygas, P
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2002, 10 : 5 - 10
  • [10] A characterization of a class of uninorms with continuous underlying operators
    Drygas, Pawel
    Ruiz-Aguilera, Daniel
    Torrens, Joan
    [J]. FUZZY SETS AND SYSTEMS, 2016, 287 : 137 - 153
12