This chapter presents complete methodology for creating interpolative logic aggregators. This technique is based on selected anchor aggregators and interpolative aggregation of GCD aggregators between them. Included are analytic modes of aggregators in the whole range from drastic conjunction to drastic disjunction. This chapter discusses the conditional logic aggregation, as well as the problems of modeling hyperconjunction and hyperdisjunction using t-norms.

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A Fourth Look at GCD: Continuum-Valued, Andness-Directed, Importance-Weighted, Idempotence-Selectable, Annihilator-Selectable, Dualized, Interpolative, and Conditional GL Aggregators

  • Jozo Dujmović

摘要

This chapter presents complete methodology for creating interpolative logic aggregators. This technique is based on selected anchor aggregators and interpolative aggregation of GCD aggregators between them. Included are analytic modes of aggregators in the whole range from drastic conjunction to drastic disjunction. This chapter discusses the conditional logic aggregation, as well as the problems of modeling hyperconjunction and hyperdisjunction using t-norms.