Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making
Tahir Mahmood,
Ubaid Ur Rehman,
Abdul Jaleel,
Jabbar Ahmmad and
Ronnason Chinram
Additional contact information
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Ubaid Ur Rehman: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Abdul Jaleel: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Jabbar Ahmmad: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Ronnason Chinram: Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
Mathematics, 2022, vol. 10, issue 7, 1-19
Abstract:
This article introduces the notion of bipolar complex fuzzy soft set as a generalization of bipolar complex fuzzy set and soft set. Furthermore, this article contains elementary operations for bipolar complex fuzzy soft sets such as complement, union, intersection, extended intersection, and related properties. The OR and AND operations for bipolar complex fuzzy soft set are also initiated in this study. Moreover, this study contains the decision-making algorithm and real-life examples to display the success and usability of bipolar complex fuzzy soft sets. Finally, the comparative study of initiated notions with some prevailing ideas are also interpreted in this study.
Keywords: soft set; bipolar complex fuzzy set; bipolar complex fuzzy soft set; decision-making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)
Downloads: (external link)
https://www.mdpi.com/2227-7390/10/7/1048/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/7/1048/ (text/html)
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:7:p:1048-:d:778789
Access Statistics for this article
Mathematics is currently edited by Ms. Emma He
More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().