The concept of rough communication based on both-branch fuzzy set is proposed,in which the loss of information may exist,for each agent there has a different language and can not provide precise communication to each ...The concept of rough communication based on both-branch fuzzy set is proposed,in which the loss of information may exist,for each agent there has a different language and can not provide precise communication to each other.The method of information measure in a rough communication based on both-branch fuzzy set is proposed.By using some concepts,such as|α|-both-branch rough communication cut,the relation theorem between rough communication based on both-branch fuzzy concept and rough communication based on classical concept is obtained.Finally,an example of rough communication based on both-branch fuzzy set is given.展开更多
This paper is on fuzzy decision theory and information security theory which are mutually independent and engrafted. This paper presents both-branch fuzzy decision and problems on decision encryption-authentication, p...This paper is on fuzzy decision theory and information security theory which are mutually independent and engrafted. This paper presents both-branch fuzzy decision and problems on decision encryption-authentication, puts forward two kinds of both-branch fuzzy decision on X: both-branch fuzzy decision on X having bounded domains X = X+∩X- ={x0}, both-branch fuzzy decision on X havingoverlapping domains X* = X+∩X- = {x_1~*,x_2~*,…,x_1~*}. It presents single branch separate-separate out theoremof both-branch fuzzy decision on X, single branch superposition theorem of both-branch fuzzy decision, exclusive-decompose principle of both-branch fuzzy decision. This paper presents encryption-authentication theorem of decision by engrafting information security theory and technique with both-branch fuzzy decision, and provides encryption-decryption and signature-authentication of both-branch fuzzy decision.展开更多
基金supported by the National Natural Science Foundation of China(61070241)the Natural Science Foundation of Shandong Province(ZR2010 FM035)the Science Research Foundation of University of Jinan(XKYK31)
文摘The concept of rough communication based on both-branch fuzzy set is proposed,in which the loss of information may exist,for each agent there has a different language and can not provide precise communication to each other.The method of information measure in a rough communication based on both-branch fuzzy set is proposed.By using some concepts,such as|α|-both-branch rough communication cut,the relation theorem between rough communication based on both-branch fuzzy concept and rough communication based on classical concept is obtained.Finally,an example of rough communication based on both-branch fuzzy set is given.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 70271048) the Natural Science Foundation of Shandong Province (Y2001G07).
文摘This paper is on fuzzy decision theory and information security theory which are mutually independent and engrafted. This paper presents both-branch fuzzy decision and problems on decision encryption-authentication, puts forward two kinds of both-branch fuzzy decision on X: both-branch fuzzy decision on X having bounded domains X = X+∩X- ={x0}, both-branch fuzzy decision on X havingoverlapping domains X* = X+∩X- = {x_1~*,x_2~*,…,x_1~*}. It presents single branch separate-separate out theoremof both-branch fuzzy decision on X, single branch superposition theorem of both-branch fuzzy decision, exclusive-decompose principle of both-branch fuzzy decision. This paper presents encryption-authentication theorem of decision by engrafting information security theory and technique with both-branch fuzzy decision, and provides encryption-decryption and signature-authentication of both-branch fuzzy decision.
