Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications

Hüseyin Kamacı

doi:10.17776/csj.524802

EN TR

Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications

Abstract

In recent years, the fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets and soft sets, which offer different perspectives for the structures containing the uncertainties, have attracted the interest of many researchers. Also, the intuitionistic fuzzy soft sets produced by combining the intuitionistic fuzzy sets with the soft sets have been widely studied. In this work, the concept of interval-valued fuzzy parameterized intuitionistic fuzzy soft set (IVFPIFS set) is introduced. This set is the generalization of soft sets, fuzzy soft sets, fuzzy parameterized (fuzzy) soft sets, interval-valued fuzzy parameterized (fuzzy) soft sets, intuitionistic fuzzy soft sets and fuzzy parameterized intuitionistic fuzzy soft sets. For the IVFPIFS sets, basic operations such as complement, union and intersection are defined. Also, the properties of these operations are investigated in detail. Lastly, an algorithm by using the aggregation operators based on the IVFPIFS sets is constructed. The examples are given to verify the feasibility and validity of the proposed algorithm.

Keywords

Fuzzy set,interval valued fuzzy set,intuitionistic fuzzy set,intuitionistic fuzzy soft set,IVFPIFS set

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hüseyin Kamacı ^*
0000-0002-0429-6713
Türkiye

Publication Date

June 30, 2019

Submission Date

February 8, 2019

Acceptance Date

May 31, 2019

Published in Issue

Year 2019 Volume: 40 Number: 2

DOI

https://doi.org/10.17776/csj.524802

IZ

https://izlik.org/JA22KU33ZE

APA

Kamacı, H. (2019). Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications. Cumhuriyet Science Journal, 40(2), 317-331. https://doi.org/10.17776/csj.524802

AMA

1.Kamacı H. Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications. CSJ. 2019;40(2):317-331. doi:10.17776/csj.524802

Chicago

Kamacı, Hüseyin. 2019. “Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications”. Cumhuriyet Science Journal 40 (2): 317-31. https://doi.org/10.17776/csj.524802.

EndNote

Kamacı H (June 1, 2019) Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications. Cumhuriyet Science Journal 40 2 317–331.

IEEE

[1]H. Kamacı, “Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications”, CSJ, vol. 40, no. 2, pp. 317–331, June 2019, doi: 10.17776/csj.524802.

ISNAD

Kamacı, Hüseyin. “Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications”. Cumhuriyet Science Journal 40/2 (June 1, 2019): 317-331. https://doi.org/10.17776/csj.524802.

JAMA

1.Kamacı H. Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications. CSJ. 2019;40:317–331.

MLA

Kamacı, Hüseyin. “Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications”. Cumhuriyet Science Journal, vol. 40, no. 2, June 2019, pp. 317-31, doi:10.17776/csj.524802.

Vancouver

1.Hüseyin Kamacı. Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications. CSJ. 2019 Jun. 1;40(2):317-31. doi:10.17776/csj.524802