Noble reinforcement in disjunctive aggregation operators

  • Authors:
  • R. R. Yager

  • Affiliations:
  • Machine Intelligence Inst., Iona Coll., New Rochelle, NY, USA

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2003

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Abstract

We discuss the role of disjunctive aggregation operators in prototype based reasoning systems such as recommender systems. We indicate a need for these aggregation operators to have the additional property of noble reinforcement: Allowing a collection of high valued arguments to reinforce each other to give complete satisfaction while avoiding the situation in which a collection of low valued arguments act in the same way. We describe the difficulty that most t-conorms have in realizing this feature of noble reinforcement. We show that by relaxing the requirement of associativity we can provide disjunctive type aggregation operators that manifest noble reinforcement.