Title
A Family of Joint Possibility Distributions for Adding Interactive Fuzzy Numbers Inspired by Biomathematical Models
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 gamma for a given pair of fuzzy numbers, say A(1) and A(2), such that the norm of the corresponding sums of A(1) and A(2) form a increasing mapping with respect to gamma.
Year
Venue
Keywords
2015
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY
Biomathematical models,sup-J extension,fuzzy numbers,sum operation
Field
DocType
Volume
Conservation of energy,Extension principle,Algebra,Fuzzy number,Possibility distribution,Calculus,Mathematics
Conference
89
ISSN
Citations 
PageRank 
1951-6851
2
0.57
References 
Authors
2
4
Name
Order
Citations
PageRank
Estevão Laureano Esmi19012.01
Gustavo Barroso261.06
Laécio C. Barros311521.74
Peter Sussner488059.25