Journal
INFORMATION SCIENCES
Volume 481, Issue -, Pages 160-173Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2018.12.076
Keywords
Fuzzy derivative; Interactivity; Autocorrelated fuzzy process; Fuzzy differential equations; Logistic model
Categories
Funding
- CAPES
- Fapesp [2016/26040-7]
- CNPq [306546/2017-5]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [16/26040-7] Funding Source: FAPESP
Ask authors/readers for more resources
In this manuscript we study a fuzzy initial value problem (FIVP) which describes an autocorrelated evolutive process. For this, we use the F-correlated derivative (F-derivative) concept on fuzzy-number-valued functions. This approach lets us establish a relationship between the diameter of the FIVP solution and its derivative. Moreover, we notice how the derivative influences the interactivity of the process by computing the measure of possibilistic interactivity of the FIVP solution. We analyze a population growth model, namely. the Logistic model, with our approach and compare the results with another approach that uses the generalized derivative of Hukuhara (gH-derivative). Finally, we conclude that in fuzzy differential equations describing locally F-correlated fuzzy processes, the use of the interactive derivative is more adequate than the gH-derivative for a fuzzy number-valued function. (C) 2018 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available