The atricle recommend the concept of generating T-fuzzy linera space,of fer the structure formular generation T-fuzzy linear space and discuss the prope rty of generating T-fuzzy linear space,taking finite gencrating ...The atricle recommend the concept of generating T-fuzzy linera space,of fer the structure formular generation T-fuzzy linear space and discuss the prope rty of generating T-fuzzy linear space,taking finite gencrating T-fuzzy linear s pace in Yu[]6as the atricle’s particular case.Also it discusses the univ ersal property of generating T-fuzzy linear space and corresponding uniqueness t heorem.展开更多
In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that ...In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos. Thirdly, by the use of theory of weak topos GIFS, the power object of an object in GIFS is studied.展开更多
This paper is devoted to the study of some properties of fuzzy filters in lattice implication algebras. The structure theorem of fuzzy filters and the category of the sets of fuzzy filters were established with some b...This paper is devoted to the study of some properties of fuzzy filters in lattice implication algebras. The structure theorem of fuzzy filters and the category of the sets of fuzzy filters were established with some basic properties of it were discussed.展开更多
文摘The atricle recommend the concept of generating T-fuzzy linera space,of fer the structure formular generation T-fuzzy linear space and discuss the prope rty of generating T-fuzzy linear space,taking finite gencrating T-fuzzy linear s pace in Yu[]6as the atricle’s particular case.Also it discusses the univ ersal property of generating T-fuzzy linear space and corresponding uniqueness t heorem.
文摘In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos. Thirdly, by the use of theory of weak topos GIFS, the power object of an object in GIFS is studied.
文摘This paper is devoted to the study of some properties of fuzzy filters in lattice implication algebras. The structure theorem of fuzzy filters and the category of the sets of fuzzy filters were established with some basic properties of it were discussed.
