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 onX: both-branch fuzzy decision onX having bounded domainsXo =X+ ∩X− = {x0}, both-branch fuzzy decision onX having overlapping domainsX* =X+ ∩X− = {x*1,x*2,…,x*t }. It presents single branch separate-separate out theorem of both-branch fuzzy decision onX, 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.
['Kaiquan Shi', 'Yuquan Cui']
Both-branch fuzzy decision and decision encryption- authentication