Work

On the existence of fuzzy solutions for partial hyperbolic functional differential equations

Year: 2014

Type: article

Abstract: In this paper, we consider the boundary valued problems for fuzzy partial hyperbolic functional differential equations with local and integral boundary conditions.A new weighted metric is used to investigate the existence and uniqueness of fuzzy solutions for these problems in a complete fuzzy metric space.Our results are demonstrated in some numerical examples in which we use the same strategy as Buckley-Feuring to build fuzzy solutions from fuzzifying the deterministic solutions.Then by using the continuity of the Zadeh's extension principle combining with numerical simulations for α-cuts of fuzzy solutions, we give some representations of the surfaces of fuzzy solutions.

Source: International Journal of Computational Intelligence Systems

DOI: 10.1080/18756891.2014.967001

Authors: Hoang Viet Long, Nguyen Thi Kim Son, Ha Thi Thanh Tam, Bui Cong Cuong

Institutions: University of Transport and Communications, Hanoi National University of Education, Institute of Mathematics, Vietnam Academy of Science and Technology

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,490

OpenAlex ID: W1964759999