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(I, A)-蕴涵及其基本性质

李颖 周红军

计算机工程与应用2019,Vol.55Issue(8):59-65,7.
计算机工程与应用2019,Vol.55Issue(8):59-65,7.DOI:10.3778/j.issn.1002-8331.1806-0340

(I, A)-蕴涵及其基本性质

(I, A)-Implication and Its Basic Properties

李颖 1周红军1

作者信息

  • 1. 陕西师范大学 数学与信息科学学院,西安 710119
  • 折叠

摘要

Abstract

Fuzzy implications play a fundamental role in fuzzy logic and approximate reasoning, and the construction of fuzzy implications is an important research topic in related fields. (I,A)-operators are constructed based on fuzzy implica-tions I and aggregation operators A . The conditions under which (I,A)-operators are fuzzy implications are inverstigated, and the basic properties of (I,A)-implications are discussed, including distributivity over overlap functions and grouping functions and law of importation.

关键词

模糊蕴涵/聚合算子/(I,A)-蕴涵/分配性/输入律

Key words

fuzzy implication/aggregation operator/ (I,A)-implication/distributivity/ law of importation

分类

数理科学

引用本文复制引用

李颖,周红军..(I, A)-蕴涵及其基本性质[J].计算机工程与应用,2019,55(8):59-65,7.

基金项目

国家自然科学基金(No.61363017). (No.61363017)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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