(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups

Muhammad Farooq; Asghar Khan; Muhammad Izhar; Bijan Davvaz

EN

(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups

Abstract

Molodtsov introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper, we apply the notion of soft sets to the ordered semihypergroups and introduce the notion of (M , N )-int-soft generalized bi-hyperideals of ordered semihypergroups. Moreover their related properties are investigated. We prove that every int-soft generalized bi-hyperideal is an (M , N )-int-soft generalized bi-hyperideals of S over U but the converse is not true which is shown with help of an example. We present new characterization of ordered semihypergroups in terms of (M , N )-int-soft generalized bi-hyperideals.

Keywords

Ordered semihypergroup,int-soft hyperideal,int-soft generalized bi-hyperideal,(M,N )-int-soft hyperideal,N )-int-soft generalized bi-hyperideal

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Muhammad Farooq This is me

Asghar Khan This is me

Muhammad Izhar This is me

Bijan Davvaz

Publication Date

June 1, 2018

Submission Date

April 5, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 23

IZ

https://izlik.org/JA35SH98GU

APA

Farooq, M., Khan, A., Izhar, M., & Davvaz, B. (2018). (M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups. Journal of New Theory, 23, 31-47. https://izlik.org/JA35SH98GU

AMA

1.Farooq M, Khan A, Izhar M, Davvaz B. (M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups. JNT. 2018;(23):31-47. https://izlik.org/JA35SH98GU

Chicago

Farooq, Muhammad, Asghar Khan, Muhammad Izhar, and Bijan Davvaz. 2018. “(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups”. Journal of New Theory, nos. 23: 31-47. https://izlik.org/JA35SH98GU.

EndNote

Farooq M, Khan A, Izhar M, Davvaz B (June 1, 2018) (M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups. Journal of New Theory 23 31–47.

IEEE

[1]M. Farooq, A. Khan, M. Izhar, and B. Davvaz, “(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups”, JNT, no. 23, pp. 31–47, June 2018, [Online]. Available: https://izlik.org/JA35SH98GU

ISNAD

Farooq, Muhammad - Khan, Asghar - Izhar, Muhammad - Davvaz, Bijan. “(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups”. Journal of New Theory. 23 (June 1, 2018): 31-47. https://izlik.org/JA35SH98GU.

JAMA

1.Farooq M, Khan A, Izhar M, Davvaz B. (M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups. JNT. 2018;:31–47.

MLA

Farooq, Muhammad, et al. “(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups”. Journal of New Theory, no. 23, June 2018, pp. 31-47, https://izlik.org/JA35SH98GU.

Vancouver

1.Muhammad Farooq, Asghar Khan, Muhammad Izhar, Bijan Davvaz. (M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups. JNT [Internet]. 2018 Jun. 1;(23):31-47. Available from: https://izlik.org/JA35SH98GU