Very and more or less in non-commutative fuzzy logic

被引:0
|
作者
Eslami, Esfandiar [1 ]
Khosravi, Hamid
Sadeghi, Faramarz
机构
[1] Shahid Bahonar Univ Kerman, Fac Math & Comp Sci, Kerman, Iran
[2] Int Ctr Sci & High Technol & Environm Sci, Kerman, Iran
关键词
L-fuzzy modifier; pseudo-BL algebra; very; more or less; linguistic hedges; non-commutative fuzzy logic;
D O I
10.1007/s00500-007-0199-2
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 consider fuzzy subsets of a universe as L-fuzzy subsets instead of [ 0, 1 ]-valued, where L is a complete lattice. We enrich the lattice L by adding some suitable operations to make it into a pseudo-BL algebra. Since BL algebras are main frameworks of fuzzy logic, we propose to consider the non-commutative BL-algebras which are more natural for modeling the fuzzy notions. Based on reasoning with in non-commutative fuzzy logic we model the linguistic modifiers such as very and more or less and give an appropriate membership function for each one by taking into account the context of the given fuzzy notion by means of resemblance L-fuzzy relations.
引用
收藏
页码:275 / 279
页数:5
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