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 language | English |
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Title of host publication | 4th International Conference on Mathematical Sciences - Mathematical Sciences |
Subtitle of host publication | Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 |
Editors | Syahida Che Dzul-Kifli, Zamira Hasanah Zamzuri, Fatimah Abdul Razak, Wan Zawiah Wan Zin |
Publisher | American Institute of Physics |
Number of pages | 8 |
ISBN (Electronic) | 9780735414983 |
DOIs | |
Publication status | Published - 27 Apr 2017 |
Externally published | Yes |
Event | International Conference on Mathematical Sciences 2016 - Putrajaya, Malaysia Duration: 15 Nov 2016 → 17 Nov 2016 Conference number: 4th https://pubs.aip.org/aip/acp/issue/1830/1 (Proceedings) |
Publication series
Name | AIP Conference Proceedings |
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Volume | 1830 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference
Conference | International Conference on Mathematical Sciences 2016 |
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Abbreviated title | ICMS 2016 |
Country/Territory | Malaysia |
City | Putrajaya |
Period | 15/11/16 → 17/11/16 |
Internet address |
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