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直觉模糊粗糙逻辑的语义及其推理

申立平 王艳平

智能系统学报Issue(1):83-87,5.
智能系统学报Issue(1):83-87,5.DOI:10.3969/j.issn.1673-4785.201209063

直觉模糊粗糙逻辑的语义及其推理

Semantic of intuitionistic fuzzy rough logic and its reasoning

申立平 1王艳平1

作者信息

  • 1. 辽宁工业大学理学院,辽宁锦州121001
  • 折叠

摘要

Abstract

The theory of the intuitionistic fuzzy rough set is introduced into the logic reasoning .By the combination of such basic theories as rough sets , intuitionistic fuzzy sets and mathematical logic , the semantic and reasoning methods of intuitionistic fuzzy rough logic are given .Initially, five logic values for the intuitionistic fuzzy proposition logic are given, i.e.intuitionistic fuzzy true , intuitionistic fuzzy false , intuitionistic fuzzy rough true , intuitionistic fuzzy rough false and intuitionistic fuzzy rough incompatible , and on the basis of this , the intuitionistic fuzzy rough logic operations are given;then the semantic of intuitionistic fuzzy rough proposition formulas in approximate space is discussed;finally, the semantic reasoning methods are proposed as for the intuitionistic fuzzy rough propositional formula containing different logical conjunctions .

关键词

粗糙集/粗糙逻辑/模糊粗糙逻辑/直觉模糊粗糙逻辑

Key words

rough set/rough logic/fuzzy rough logic/intuitionistic fuzzy rough logic

分类

信息技术与安全科学

引用本文复制引用

申立平,王艳平..直觉模糊粗糙逻辑的语义及其推理[J].智能系统学报,2014,(1):83-87,5.

基金项目

辽宁省教育厅基金资助项目( L2012226). ()

智能系统学报

OA北大核心CSCDCSTPCD

1673-4785

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