Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

A Family of Joint Possibility Distributions for Adding Interactive Fuzzy Numbers Inspired by Biomathematical Models

Authors
Estevão Esmi, Gustavo Barroso, Laécio C. Barros, Peter Sussner
Corresponding Author
Estevão Esmi
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.186How to use a DOI?
Keywords
Biomathematical models, sup-J extension, fuzzy numbers, sum operation.
Abstract
In many models for real-world problems such as the law of conservation of energy, the sum of parameters must be zero. In this paper, we investigate the problem of adding fuzzy numbers using the extension principle based on the concept of the joint possibility distribution. In particular, we present a formula to produce a family of joint possibility distribution indexed by a parameter for a given pair of fuzzy numbers, say A1 and A2, such that the norm of the corresponding sums of A1 and A2 form a increasing mapping with respect to .
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Estevão Esmi
AU  - Gustavo Barroso
AU  - Laécio C. Barros
AU  - Peter Sussner
PY  - 2015/06
DA  - 2015/06
TI  - A Family of Joint Possibility Distributions for Adding Interactive Fuzzy Numbers Inspired by Biomathematical Models
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  - 1318
EP  - 1323
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.186
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.186
ID  - Esmi2015/06
ER  -