Interval-valued complex fuzzy soft sets

Ganeshsree Selvachandran, Abdul Razak Salleh

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

6 Citations (Scopus)

Abstract

Type-2 fuzzy sets allow us to incorporate the uncertainties about the membership functions into fuzzy sets, thereby overcoming a problem that is inherent in type-1 fuzzy sets, which does not allow for any uncertainty in assigning values to the membership functions. Complex fuzzy sets are type-1 fuzzy sets with complex-valued grades of membership and are characterized by an additional phase term which enables it to better represent and capture the time-periodic and seasonal aspects of fuzziness that are prevalent in many real world problems and time-series applications. However, similar to type-1 fuzzy sets, the membership functions of complex fuzzy sets are difficult to enumerate, as they are subject to individual preferences and bias. To overcome this problem, we propose the concept of interval-valued complex fuzzy soft sets which combines complex fuzzy sets with type-2 fuzzy sets and soft sets. This adaption of complex fuzzy sets assigns an interval-based membership to each element and adequate parameterization, which betters corresponds to the intuition of representing fuzzy data. Subsequently this paper is concerned with the concepts related to this model, verifying the algebraic properties and demonstrating the utility of this model.

Original languageEnglish
Title of host publication4th International Conference on Mathematical Sciences - Mathematical Sciences
Subtitle of host publicationChampioning the Way in a Problem Based and Data Driven Society, ICMS 2016
EditorsSyahida Che Dzul-Kifli, Zamira Hasanah Zamzuri, Fatimah Abdul Razak, Wan Zawiah Wan Zin
PublisherAmerican Institute of Physics
Number of pages8
ISBN (Electronic)9780735414983
DOIs
Publication statusPublished - 27 Apr 2017
Externally publishedYes
EventInternational Conference on Mathematical Sciences 2016 - Putrajaya, Malaysia
Duration: 15 Nov 201617 Nov 2016
Conference number: 4th
https://pubs.aip.org/aip/acp/issue/1830/1 (Proceedings)

Publication series

NameAIP Conference Proceedings
Volume1830
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematical Sciences 2016
Abbreviated titleICMS 2016
Country/TerritoryMalaysia
CityPutrajaya
Period15/11/1617/11/16
Internet address

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