Some operations on complex Atanassov's intuitionistic fuzzy sets

Abd Ulazeez M Alkouri, Abdul Razak Salleh

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

7 Citations (Scopus)

Abstract

Several innovative uncertainty sets were introduced recently. Complex Atanassov's intuitionistic fuzzy set (CAIFS) is one of these uncertainty sets, where Atanassov's intuitionistic fuzzy membership and non-membership functions take values in the unit circle in the complex plane. In this paper, some operations are generalised to the case of CAIFS. Two main operations □ and ◇ are introduced and various properties are investigated. Also, we conclude the advantage from generalising these two operations to the realm of complex numbers, by finding out a relationship between the concepts of CAIFS and complex fuzzy sets (CFS).

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages987-993
Number of pages7
Volume1571
DOIs
Publication statusPublished - 2013
Event2013 UKM Faculty of Science and Technology Post-Graduate Colloquium - Selangor, Malaysia
Duration: 3 Jul 20134 Jul 2013

Other

Other2013 UKM Faculty of Science and Technology Post-Graduate Colloquium
CountryMalaysia
CitySelangor
Period3/7/134/7/13

Fingerprint

fuzzy sets
complex numbers
membership functions

Keywords

  • Atanassov's intuitionistic fuzzy sets
  • Complex Atanassov's intuitionistic fuzzy set
  • Complex fuzzy set
  • Necessity operation and possibility operation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Alkouri, A. U. M., & Salleh, A. R. (2013). Some operations on complex Atanassov's intuitionistic fuzzy sets. In AIP Conference Proceedings (Vol. 1571, pp. 987-993) https://doi.org/10.1063/1.4858782

Some operations on complex Atanassov's intuitionistic fuzzy sets. / Alkouri, Abd Ulazeez M; Salleh, Abdul Razak.

AIP Conference Proceedings. Vol. 1571 2013. p. 987-993.

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

Alkouri, AUM & Salleh, AR 2013, Some operations on complex Atanassov's intuitionistic fuzzy sets. in AIP Conference Proceedings. vol. 1571, pp. 987-993, 2013 UKM Faculty of Science and Technology Post-Graduate Colloquium, Selangor, Malaysia, 3/7/13. https://doi.org/10.1063/1.4858782
Alkouri AUM, Salleh AR. Some operations on complex Atanassov's intuitionistic fuzzy sets. In AIP Conference Proceedings. Vol. 1571. 2013. p. 987-993 https://doi.org/10.1063/1.4858782
Alkouri, Abd Ulazeez M ; Salleh, Abdul Razak. / Some operations on complex Atanassov's intuitionistic fuzzy sets. AIP Conference Proceedings. Vol. 1571 2013. pp. 987-993
@inproceedings{091baa3f0d054225b26286e54df2c93b,
title = "Some operations on complex Atanassov's intuitionistic fuzzy sets",
abstract = "Several innovative uncertainty sets were introduced recently. Complex Atanassov's intuitionistic fuzzy set (CAIFS) is one of these uncertainty sets, where Atanassov's intuitionistic fuzzy membership and non-membership functions take values in the unit circle in the complex plane. In this paper, some operations are generalised to the case of CAIFS. Two main operations □ and ◇ are introduced and various properties are investigated. Also, we conclude the advantage from generalising these two operations to the realm of complex numbers, by finding out a relationship between the concepts of CAIFS and complex fuzzy sets (CFS).",
keywords = "Atanassov's intuitionistic fuzzy sets, Complex Atanassov's intuitionistic fuzzy set, Complex fuzzy set, Necessity operation and possibility operation",
author = "Alkouri, {Abd Ulazeez M} and Salleh, {Abdul Razak}",
year = "2013",
doi = "10.1063/1.4858782",
language = "English",
isbn = "9780735411999",
volume = "1571",
pages = "987--993",
booktitle = "AIP Conference Proceedings",

}

TY - GEN

T1 - Some operations on complex Atanassov's intuitionistic fuzzy sets

AU - Alkouri, Abd Ulazeez M

AU - Salleh, Abdul Razak

PY - 2013

Y1 - 2013

N2 - Several innovative uncertainty sets were introduced recently. Complex Atanassov's intuitionistic fuzzy set (CAIFS) is one of these uncertainty sets, where Atanassov's intuitionistic fuzzy membership and non-membership functions take values in the unit circle in the complex plane. In this paper, some operations are generalised to the case of CAIFS. Two main operations □ and ◇ are introduced and various properties are investigated. Also, we conclude the advantage from generalising these two operations to the realm of complex numbers, by finding out a relationship between the concepts of CAIFS and complex fuzzy sets (CFS).

AB - Several innovative uncertainty sets were introduced recently. Complex Atanassov's intuitionistic fuzzy set (CAIFS) is one of these uncertainty sets, where Atanassov's intuitionistic fuzzy membership and non-membership functions take values in the unit circle in the complex plane. In this paper, some operations are generalised to the case of CAIFS. Two main operations □ and ◇ are introduced and various properties are investigated. Also, we conclude the advantage from generalising these two operations to the realm of complex numbers, by finding out a relationship between the concepts of CAIFS and complex fuzzy sets (CFS).

KW - Atanassov's intuitionistic fuzzy sets

KW - Complex Atanassov's intuitionistic fuzzy set

KW - Complex fuzzy set

KW - Necessity operation and possibility operation

UR - http://www.scopus.com/inward/record.url?scp=84897760040&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897760040&partnerID=8YFLogxK

U2 - 10.1063/1.4858782

DO - 10.1063/1.4858782

M3 - Conference contribution

SN - 9780735411999

VL - 1571

SP - 987

EP - 993

BT - AIP Conference Proceedings

ER -