Multi-valued logic based on probability-generated aggregators

Eugene Kagan, Alexander Rybalov, Ronald Yager

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the problem of decision-making under uncertainty and suggest the method of constructing truth values of the events using probability-generated aggregators. We prove the equivalence (in non-limiting cases) between the fuzzy logic based on the probability-generated aggregators and the Lukasiewicz probabilistic logic based on model-theoretic scheme. In addition, we demonstrate the relation between the suggested construction and the Nilsson and the Reichenbach probabilistic logics. The suggested method provides effective techniques for resolving uncertainties in the decision-making tasks and bridges the gap between probabilistic and fuzzy approaches to multivalued logic. In addition to formal statements and proofs, the report includes several examples, which clarify the suggested constructions and demonstrate their correspondence with the known methods.

Original languageEnglish
Title of host publication2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479959877
DOIs
StatePublished - 2014
Event2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014 - Eilat, Israel
Duration: 3 Dec 20145 Dec 2014

Publication series

Name2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014

Conference

Conference2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
Country/TerritoryIsrael
CityEilat
Period3/12/145/12/14

Keywords

  • Absorbing norm
  • Multi-valued logic
  • Probabilistic logic
  • Uninorm

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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