NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS

Mohammed Bilal Khan; Vildan Çetkin; Tahir Mahmood; Naeem Jan; Kifayat Ullah; Halis Aygün

NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS

Abstract

In this study, we aim to consider a new kind of a set called by a double framed soft fuzzy set, which is convenient to handle the real world applications and to investigate the near rings in the view of this new set. We define some of the elementary set operations of double framed soft fuzzy sets. We propose the notion of double framed soft fuzzy near rings (ideals) with several properties and characteristics. Further, we illustrate the given notions with some examples.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mohammed Bilal Khan This is me
0000-0001-7450-8067
Pakistan

Vildan Çetkin This is me
0000-0003-3136-0124
Türkiye

Tahir Mahmood This is me
0000-0002-3871-3845
Pakistan

Naeem Jan This is me
0000-0002-7318-407X
Pakistan

Kifayat Ullah This is me
0000-0002-1438-6413
Pakistan

Halis Aygün This is me
0000-0003-3263-3884
Türkiye

Publication Date

March 1, 2019

Submission Date

July 16, 2018

Acceptance Date

December 23, 2018

Published in Issue

Year 2019 Volume: 37 Number: 1

IZ

https://izlik.org/JA57GF92HM

Cite

RIS / Bibtex

APA

Khan, M. B., Çetkin, V., Mahmood, T., Jan, N., Ullah, K., & Aygün, H. (2019). NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS. Sigma Journal of Engineering and Natural Sciences, 37(1), 175-186. https://izlik.org/JA57GF92HM

AMA

1.Khan MB, Çetkin V, Mahmood T, Jan N, Ullah K, Aygün H. NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS. SIGMA. 2019;37(1):175-186. https://izlik.org/JA57GF92HM

Chicago

Khan, Mohammed Bilal, Vildan Çetkin, Tahir Mahmood, Naeem Jan, Kifayat Ullah, and Halis Aygün. 2019. “NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS”. Sigma Journal of Engineering and Natural Sciences 37 (1): 175-86. https://izlik.org/JA57GF92HM.

EndNote

Khan MB, Çetkin V, Mahmood T, Jan N, Ullah K, Aygün H (March 1, 2019) NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS. Sigma Journal of Engineering and Natural Sciences 37 1 175–186.

IEEE

[1]M. B. Khan, V. Çetkin, T. Mahmood, N. Jan, K. Ullah, and H. Aygün, “NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS”, SIGMA, vol. 37, no. 1, pp. 175–186, Mar. 2019, [Online]. Available: https://izlik.org/JA57GF92HM

ISNAD

Khan, Mohammed Bilal - Çetkin, Vildan - Mahmood, Tahir - Jan, Naeem - Ullah, Kifayat - Aygün, Halis. “NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS”. Sigma Journal of Engineering and Natural Sciences 37/1 (March 1, 2019): 175-186. https://izlik.org/JA57GF92HM.

JAMA

1.Khan MB, Çetkin V, Mahmood T, Jan N, Ullah K, Aygün H. NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS. SIGMA. 2019;37:175–186.

MLA

Khan, Mohammed Bilal, et al. “NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 1, Mar. 2019, pp. 175-86, https://izlik.org/JA57GF92HM.

Vancouver

1.Mohammed Bilal Khan, Vildan Çetkin, Tahir Mahmood, Naeem Jan, Kifayat Ullah, Halis Aygün. NEAR RINGS IN THE VIEW OF DOUBLE-FRAMED SOFT FUZZY SETS. SIGMA [Internet]. 2019 Mar. 1;37(1):175-86. Available from: https://izlik.org/JA57GF92HM