The Optimal Solutions as Triple I Formula Taking the Minimal Value
Received:September 08, 2003  
Key Words: implication operator $R_0$   triple I formula   triple I method.  
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Author NameAffiliation
QIN Feng Dept. of Math.
Shaanxi Normal University
Xi'an
China
Dept. of Math.
Jiangxi Normal University
Nanchang 330027
China 
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Abstract:
      In this paper, for implication operator $R_0$, a method which calculates the supremum (infimum) of set of $B^*(A^*)$ such that triple I formula $(A\rightarrow B)\rightarrow (A^*\rightarrow B^*)$ takes minimal value is given. Moreover, this method is generalized into the general form of FMP. As far as finding the optimal solution $B^*(A^*)$ such that triple I formula takes the maximal value or the minimal value is concerned, this paper extends and perfects the idea of triple I method.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.01.025
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