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1、6.1 6.1 Resolution Resolution Principles:Part 1Principles:Part 1 1(),Theorem 1(Resolution PTheorem 1(Resolution Principle rinciple )Let Let .Then.Then =,.Proof Proof SupposeSuppose .(,)=(),=(),=()()=()()=()=.Corollary 1Corollary 1 Let Let .Then.Then =,.Example Example 1 1 Let Let =,.Suppose Suppose
2、=,=,.,.,.Find the fuzzy set Find the fuzzy set ,and,and denote denote it by it by ZadehZadeh notationnotation.Solution Solution =,=.,=,=.,=,=,=,=.=,=,.,.,.=.+.+=.+.+.Theorem 1(Resolution Theorem 1(Resolution Principle Principle )Let Let .Then.Then =,.Theorem 2(Resolution Principle Theorem 2(Resolution Principle )Let Let .ThenThen =,.ProofProof SupposeSuppose .(,)=(),=()()=()()=()=.Corollary Corollary 2 2 Let Let .Then.Then =,.Theorem 1 Theorem 1(Resolution(Resolution Principle Principle )Let Let .Then.Then =,.Theorem 2 Theorem 2(Resolution(Resolution Principle Principle )Let Let .ThenThen =,.