A Family of Joint Possibility Distributions for Adding Interactive Fuzzy Numbers Inspired by Biomathematical Models
Estevão Esmi, Gustavo Barroso, Laécio C. Barros, Peter Sussner
Available Online June 2015.
- 10.2991/ifsa-eusflat-15.2015.186How to use a DOI?
- Biomathematical models, sup-J extension, fuzzy numbers, sum operation.
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 .
- © 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/).
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 - 10.2991/ifsa-eusflat-15.2015.186 ID - Esmi2015/06 ER -