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Application of Fuzzy Mathematics to Actuarial Science

In: Actuarial Science Theory and Methodology

Author

Listed:
  • Hanji Shang

    (Fudan University, China)

Abstract

The following sections are included:IntroductionSome Basic Notions of Fuzzy Set TheoryApplication of FST in Life Insurance GameBackgroundSome Relative Concepts and TheoremsModel of GameThe Example of ApplicationThe ExampleConclusionDecision-Making Method Applied in Life Insurance CompaniesBackgroundThe Passive Decision—Two-stage Fuzzy Comprehensive ValuationThe Initiative Decision—Multi-object Fuzzy Group DecisionSynthetic DecisionThe Risk Analysis of Complications for Some DiseasesBackgroundThe Risk of ComplicationsDetermining the VariableDefine the Similar Matrix RThe Transitive Closure t(R)Optimum Fuzzy Equivalent Matrix RminSome ResultsThe Illness Degree of DiseasesBasic Concept and Methodξh: Illness Degree of Hypertension(IDOH)ξc: Illness Degree of Coronary Heart Disease (IDOC)The Relationship between Hypertension and Coronary Heart DiseaseThe Application to InsuranceRegression Forecasting Model with Fuzzy FactorsBackgroundRegression Forecasting Model with Crisp FactorsRegression Forecasting Model with Crisp Factors and Fuzzy FactorsSome Concepts, Methods and an Application ExampleRegression Forecasting Model with Crisp Factors and Fuzzy FactorsExample and Comparison of Two Kinds of Regression ModelConclusionReferences

Suggested Citation

  • Hanji Shang, 2006. "Application of Fuzzy Mathematics to Actuarial Science," World Scientific Book Chapters, in: Hanji Shang (ed.), Actuarial Science Theory and Methodology, chapter 5, pages 159-199, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812774668_0005
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