A new generalized intuitionistic fuzzy set

Ezzatallah Baloui Jamkhaneh; Saralees Nadarajah

EN

A new generalized intuitionistic fuzzy set

Abstract

A generalized intuitionistic fuzzy set (GIFSB) is proposed. It is shown that Atanassov’s intuitionistic fuzzy set, intuitionistic fuzzy sets of root type and intuitionistic fuzzy sets of second type are special cases of this new one. Some important notions, basic algebraic properties of GIFSB, three operators and their relationship are discussed. The algebraic properties include being closed under union, being closed under intersection, being closed under a necessity measure, being closed under a possibility measure and de Morgan type identities.

Keywords

Generalized intuitionistic fuzzy set,Intuitionistic fuzzy set,Intu- itionistic fuzzy sets of root type,Intuitionistic fuzzy sets of second type

References

.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Ezzatallah Baloui Jamkhaneh

Saralees Nadarajah ^*

Publication Date

December 1, 2015

Submission Date

May 30, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 44 Number: 6

IZ

https://izlik.org/JA93BK26NJ

Cite

RIS / Bibtex

APA

Jamkhaneh, E. B., & Nadarajah, S. (2015). A new generalized intuitionistic fuzzy set. Hacettepe Journal of Mathematics and Statistics, 44(6), 1537-1551. https://izlik.org/JA93BK26NJ

AMA

1.Jamkhaneh EB, Nadarajah S. A new generalized intuitionistic fuzzy set. Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1537-1551. https://izlik.org/JA93BK26NJ

Chicago

Jamkhaneh, Ezzatallah Baloui, and Saralees Nadarajah. 2015. “A New Generalized Intuitionistic Fuzzy Set”. Hacettepe Journal of Mathematics and Statistics 44 (6): 1537-51. https://izlik.org/JA93BK26NJ.

EndNote

Jamkhaneh EB, Nadarajah S (December 1, 2015) A new generalized intuitionistic fuzzy set. Hacettepe Journal of Mathematics and Statistics 44 6 1537–1551.

IEEE

[1]E. B. Jamkhaneh and S. Nadarajah, “A new generalized intuitionistic fuzzy set”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, pp. 1537–1551, Dec. 2015, [Online]. Available: https://izlik.org/JA93BK26NJ

ISNAD

Jamkhaneh, Ezzatallah Baloui - Nadarajah, Saralees. “A New Generalized Intuitionistic Fuzzy Set”. Hacettepe Journal of Mathematics and Statistics 44/6 (December 1, 2015): 1537-1551. https://izlik.org/JA93BK26NJ.

JAMA

1.Jamkhaneh EB, Nadarajah S. A new generalized intuitionistic fuzzy set. Hacettepe Journal of Mathematics and Statistics. 2015;44:1537–1551.

MLA

Jamkhaneh, Ezzatallah Baloui, and Saralees Nadarajah. “A New Generalized Intuitionistic Fuzzy Set”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, Dec. 2015, pp. 1537-51, https://izlik.org/JA93BK26NJ.

Vancouver

1.Ezzatallah Baloui Jamkhaneh, Saralees Nadarajah. A new generalized intuitionistic fuzzy set. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Dec. 1;44(6):1537-51. Available from: https://izlik.org/JA93BK26NJ