广义的直觉模糊蕴涵及剩余格  

Generalized Intuitionistic Fuzzy Implication and its Residuated Lattice

作　　者：薛占熬[1] 肖运花[1] 程惠茹[1] 薛海峰[2] 

机构地区：[1]河南师范大学计算机与信息技术学院,新乡453007 [2]中央广播电视大学信息管理处,北京100031

出　　处：《计算机科学》2012年第3期200-205,共6页Computer Science

基　　金：河南省重点科技攻关项目(092102210149);河南省教育厅自然科学研究计划项目(2009B520015)资助

摘　　要：直觉模糊蕴涵是直觉模糊推理的重要基础,为直觉模糊集在不确定信息系统下推理和决策中的应用提供了理论基础。对直觉模糊蕴涵进行了研究。首先回顾了直觉模糊的有关基础知识,在此基础上构造了一种新的广义的直觉模糊蕴涵,证明了其单调性、边界性等系列重要性质,最后证明了该蕴涵可构成直觉模糊剩余格。Intuitionistic fuzzy implication plays an important role in the intuitionistic fuzzy reasoning, and provides basic theory for applications of the uncertain reasoning and decision-making. The instuitionistic fuzzy implication was researched. The basic knowledge of the intuitionistic fuzzy was firstly reviewed, a new kind of the generalized intuitionistic fuzzy implication was constructed, and its properties were proved, such as its monotonicity law and boundary, etc. Furthermore, it was proved that the implication can construct the intnitionistic fuzzy residuated lattice.

关 键 词：直觉模糊集 直觉模糊蕴涵 直觉模糊剩余格 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]