Numerical methods for fuzzy initial value problems under different types of interpretation: A comparison study

Muhammad Zaini Ahmad, Mohammad Khatim Hasan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this paper, we present the solution of fuzzy initial value problem of the form X′(t) = f(t,X(t)), X(t 0) = X 0, where X 0 is a symmetric triangular fuzzy interval. In the first part, we review the existing analytical methods for solving such problem under different types of interpretation. We then provide detailed numerical procedures based on the different interpretations given in the first part. Finally, we give a property and establish some results on relationship between the existing numerical methods under different types of interpretation.

Original languageEnglish
Title of host publicationCommunications in Computer and Information Science
Pages275-288
Number of pages14
Volume252 CCIS
EditionPART 2
DOIs
Publication statusPublished - 2011
EventInternational Conference on Informatics Engineering and Information Science, ICIEIS 2011 - Kuala Lumpur
Duration: 14 Nov 201116 Nov 2011

Publication series

NameCommunications in Computer and Information Science
NumberPART 2
Volume252 CCIS
ISSN (Print)18650929

Other

OtherInternational Conference on Informatics Engineering and Information Science, ICIEIS 2011
CityKuala Lumpur
Period14/11/1116/11/11

Fingerprint

Initial value problems
Numerical methods

Keywords

  • analytical methods
  • fuzzy initial value problem
  • numerical methods
  • relationship
  • symmetric triangular fuzzy interval

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

Ahmad, M. Z., & Hasan, M. K. (2011). Numerical methods for fuzzy initial value problems under different types of interpretation: A comparison study. In Communications in Computer and Information Science (PART 2 ed., Vol. 252 CCIS, pp. 275-288). (Communications in Computer and Information Science; Vol. 252 CCIS, No. PART 2). https://doi.org/10.1007/978-3-642-25453-6_25

Numerical methods for fuzzy initial value problems under different types of interpretation : A comparison study. / Ahmad, Muhammad Zaini; Hasan, Mohammad Khatim.

Communications in Computer and Information Science. Vol. 252 CCIS PART 2. ed. 2011. p. 275-288 (Communications in Computer and Information Science; Vol. 252 CCIS, No. PART 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ahmad, MZ & Hasan, MK 2011, Numerical methods for fuzzy initial value problems under different types of interpretation: A comparison study. in Communications in Computer and Information Science. PART 2 edn, vol. 252 CCIS, Communications in Computer and Information Science, no. PART 2, vol. 252 CCIS, pp. 275-288, International Conference on Informatics Engineering and Information Science, ICIEIS 2011, Kuala Lumpur, 14/11/11. https://doi.org/10.1007/978-3-642-25453-6_25
Ahmad MZ, Hasan MK. Numerical methods for fuzzy initial value problems under different types of interpretation: A comparison study. In Communications in Computer and Information Science. PART 2 ed. Vol. 252 CCIS. 2011. p. 275-288. (Communications in Computer and Information Science; PART 2). https://doi.org/10.1007/978-3-642-25453-6_25
Ahmad, Muhammad Zaini ; Hasan, Mohammad Khatim. / Numerical methods for fuzzy initial value problems under different types of interpretation : A comparison study. Communications in Computer and Information Science. Vol. 252 CCIS PART 2. ed. 2011. pp. 275-288 (Communications in Computer and Information Science; PART 2).
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