An Approach to Interval Fuzzy Probabilities

DOI

10.2991/ifsa-eusflat-15.2015.216How to use a DOI?

Keywords

Interval fuzzy numbers, ranking interval fuzzy numbers, interval fuzzy probabilities, interval fuzzy mean.

Abstract

Fuzzy sets and logic have been largely used for the treatment of the uncertainty, vagueness and ambiguity found in the modeling of real problems. However, there may exist also the case when there is uncertainty related to the membership functions to be used in the modeling of fuzzy sets and fuzzy numbers, as there are many ways to define the shape of this kind of number. Thus, one can use, for example, the theory of interval fuzzy sets to address this uncertainty, considering different modelings of fuzzy numbers into a single interval fuzzy number. In this paper, we use interval fuzzy numbers to represent probabilities that are difficult to be estimated and where the modeling of fuzzy numbers is not trivial. To elaborate the calculation of interval fuzzy probabilities, we introduce an approach based on the one used by Buckley and Eslami for fuzzy probabilities, where the probabilities respect an arithmetic restriction. We discuss several properties of the proposed approach.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tiago Da Cruz Asmus
AU  - Graçaliz Pereira Dimuro
AU  - Benjamín Bedregal
PY  - 2015/06
DA  - 2015/06
TI  - An Approach to Interval Fuzzy Probabilities
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1520
EP  - 1527
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.216
DO  - 10.2991/ifsa-eusflat-15.2015.216
ID  - DaCruzAsmus2015/06
ER  -