Intuitionistic fuzzy probability

  • Authors:
  • Claudilene G. Da Costa;Benjamin C. Bedregal;Adrião D. Doria Neto

  • Affiliations:
  • Departamento de Ciências Exatas, Universidade Federal da Paraíba, Rio Tinto, PB, Brasil;Grupo de Lógica, Linguagens, Informação, Teoria e Aplicações, Departamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Nat ...;Departamento de Engenharia de Computação e Automação, Universidade Federal do Rio Grande do Norte, Natal, Brazil

  • Venue:
  • SBIA'10 Proceedings of the 20th Brazilian conference on Advances in artificial intelligence
  • Year:
  • 2010

Quantified Score

Hi-index 0.01

Visualization

Abstract

Fuzzy Probabilities are an extension of the concept of probabilities with application in several practical problems. The former are probabilities represented through fuzzy numbers, to indicate the uncertainty in the value assigned to a probability. Moreover, Krassimir Atanassov in 1983 added an extra degree of uncertainty to classic fuzzy sets for modeling the hesitation and uncertainty about the degree of membership. This new theory of fuzzy sets is known today as intuitionistic fuzzy set theory. This work will extend the notion of fuzzy probabilities by representing probabilities through the intuitionistic fuzzy numbers, in the sense of Atanassov, instead of fuzzy numbers.