In this paper,we first introduce vague set,then give the definition of intersection and unionbased on vague set with t-norm and t-conorm of the point value. Thus we gain some properties of inter-section and union of v...In this paper,we first introduce vague set,then give the definition of intersection and unionbased on vague set with t-norm and t-conorm of the point value. Thus we gain some properties of inter-section and union of vague set.展开更多
Up to now, the study on the cardinal number of fuzzy sets has advanced at on pace since it is very hard to give it an appropriate definition. Althrough for it in [1], it is with some harsh terms and is not reasonable ...Up to now, the study on the cardinal number of fuzzy sets has advanced at on pace since it is very hard to give it an appropriate definition. Althrough for it in [1], it is with some harsh terms and is not reasonable as we point out in this paper. In the paper, we give a general definition of fuzzy cardinal numbers. Based on this definition, we not only obtain a large part of results with re spect to cardinal numbers, but also give a few of new properties of fuzzy cardinal numbers.展开更多
文摘In this paper,we first introduce vague set,then give the definition of intersection and unionbased on vague set with t-norm and t-conorm of the point value. Thus we gain some properties of inter-section and union of vague set.
基金国家自然科学基金(the National Natural Science Foundation of China under Grant No.60564001)教育部留学回国人员科研启动基金(The Project-sponsoredby SRF for ROCS+1 种基金SEMChina under Grant No.教育司留[2004]527号)。
文摘Up to now, the study on the cardinal number of fuzzy sets has advanced at on pace since it is very hard to give it an appropriate definition. Althrough for it in [1], it is with some harsh terms and is not reasonable as we point out in this paper. In the paper, we give a general definition of fuzzy cardinal numbers. Based on this definition, we not only obtain a large part of results with re spect to cardinal numbers, but also give a few of new properties of fuzzy cardinal numbers.
