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A note on algebra of generalized Hukuhara differentiable fuzzy functions

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

In this article we deal with the algebra of generalized Hukuhara differentiable fuzzy functions (gH-differentiable fuzzy functions, for short). We show that the sum and the gH-difference of two gH-differentiable fuzzy functions are not necessarily gH-differentiable. Then we give conditions on the two fuzzy functions so that the sum and the gH-difference of these to be gH-differentiable. Moreover we present practical rules for obtaining the gH-derivative of these fuzzy functions. Also, we give a rule for obtaining the gH-derivative of fuzzy functions generate from the multiplication of a real number by a gH-differentiable fuzzy function. The results presented here correct the results obtained previously by other authors.

Original languageEnglish
Title of host publication2015 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467372473
DOIs
StatePublished - 29 Sep 2015
EventAnnual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015 - Redmond, United States
Duration: 17 Aug 201519 Aug 2015

Publication series

NameAnnual Conference of the North American Fuzzy Information Processing Society - NAFIPS
Volume2015-September

Conference

ConferenceAnnual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015
Country/TerritoryUnited States
CityRedmond
Period17/08/1519/08/15

Keywords

  • Frequency locked loops

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