Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets

Hüseyin Kamacı

EN

Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets

Abstract

The quadripartitioned single valued neutrosophic set consisting of the real-valued amplitude terms: truth-membership grade, contradiction-membership grade, ignorance-membership grade and falsity-membership grade, cannot handle complex-valued information. In this paper, the ranges of grades of truth-membership, contradiction-membership, ignorance-membership and falsity-membership are extended from the interval [0,1] to unit circle in the complex plane, and thus the notion of complex quadripartitioned single valued neutrosophic set is proposed. Further, some fundamental operations and relations on the complex quadripartitioned single valued neutrosophic sets are studied. Secondly, the rough approximations of complex quadripartitioned single valued neutrosophic sets are derived, and then their related remarkable properties are discussed. Finally, a formulation is proposed to measure rough degree of complex quadripartitioned single valued neutrosophic sets in the approximate space.

Keywords

Single valued neutrosophic set, quadripartitioned single valued neutrosophic set, complex quadripartitioned single valued neutrosophic set, rough approximations, rough degree

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

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

Publication Date

March 30, 2021

Submission Date

January 27, 2021

Acceptance Date

March 4, 2021

Published in Issue

Year 2021 Number: 34

IZ

https://izlik.org/JA72ND84LS

APA

Kamacı, H. (2021). Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets. Journal of New Theory, 34, 45-63. https://izlik.org/JA72ND84LS

AMA

1.Kamacı H. Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets. JNT. 2021;(34):45-63. https://izlik.org/JA72ND84LS

Chicago

Kamacı, Hüseyin. 2021. “Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets”. Journal of New Theory, nos. 34: 45-63. https://izlik.org/JA72ND84LS.

EndNote

Kamacı H (March 30, 2021) Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets. Journal of New Theory 34 45–63.

IEEE

[1]H. Kamacı, “Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets”, JNT, no. 34, pp. 45–63, Mar. 2021, [Online]. Available: https://izlik.org/JA72ND84LS

ISNAD

Kamacı, Hüseyin. “Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets”. Journal of New Theory. 34 (March 30, 2021): 45-63. https://izlik.org/JA72ND84LS.

JAMA

1.Kamacı H. Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets. JNT. 2021;:45–63.

MLA

Kamacı, Hüseyin. “Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets”. Journal of New Theory, no. 34, Mar. 2021, pp. 45-63, https://izlik.org/JA72ND84LS.

Vancouver

1.Hüseyin Kamacı. Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets. JNT [Internet]. 2021 Mar. 30;(34):45-63. Available from: https://izlik.org/JA72ND84LS