Atanassov's intuitionistic fuzzy probability and Markov chains

Authors:
Claudilene G. Da Costa;BenjamíN Bedregal;AdriãO D. DóRia Neto
Affiliations:
Departamento de Ciências Exatas - DCE, Universidade, Federal da Paraíba - UFPB, Rua da Mangueira s/n, 58297-000 Rio Tinto, PB, Brazil;Grupo de Lógica, Linguagens, Informação, Teoria e Aplicaçíes - LoLITA, Departamento de Informática e Matemática Aplicada - DIMAp, Universidade Federal do Rio Gra ...;Departamento de Engenharia de Computação e Automação - DCA, Universidade Federal do Rio, Grande do Norte - UFRN, Campus Universitário s/n, 59072-970 Natal, RN, Brazil
Venue:
Knowledge-Based Systems
Year:
2013

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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 nowadays known as Atanassov intuitionistic fuzzy set theory. This work will extend the notion of fuzzy probabilities by representing probabilities through the Atanassov intuitionistic fuzzy numbers instead of fuzzy numbers.