Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making

Mahmood, Tahir; Rehman, Ubaid ur; Jaleel, Abdul; Ahmmad, Jabbar; Chinram, Ronnason

doi:10.3390/math10071048

Cited by 63 publications

(33 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the future, we would like to employ the investigated work to some of the prevailing works like BCF soft sets (Mahmood et al, 2022), bipolar complex intuitionistic FSs (Al-Husban, 2022Jan, 2022).…”

Section: Discussionmentioning

confidence: 99%

Bipolar complex fuzzy subalgebras and ideals of BCK/BCI-algebras

Mahmood

Rehman

2023

J. Decis. Anal. Int. Comp.

View full text Add to dashboard Cite

The conception of the bipolar complex fuzzy set (BCFS) is one of the fundamental and significant modifications of the fuzzy set (FS) to tackle the tricky and awkward information. BCFS has a rich and wider structure and has been utilized in various fields. In this article, we introduce the concept of bipolar complex fuzzy (BCF) subalgebras (BCFSAs), BCF ideals (BCFIs) of a BCK/BCI-algebra along with certain properties. Further, we investigate the relations between BCFSA and a BCFI and a necessary condition for BCFSA to be a BCFI. We also investigate characterizations of BCFI. Moreover, we introduce the notion of equivalence relations on the collection of all BCFIs of BCK/BCI algebra and the associated properties of equivalence relations.

show abstract

Section: Discussionmentioning

confidence: 99%

Bipolar complex fuzzy subalgebras and ideals of BCK/BCI-algebras

Mahmood

Rehman

2023

J. Decis. Anal. Int. Comp.

View full text Add to dashboard Cite

show abstract

“…In the future, we are thinking to expand this work to various notions where the proposed work is not applicable such as bipolar complex fuzzy uncertain linguistic set, bipolar complex fuzzy 2-tuple linguistic set, BCFSS [34], complex bipolar intuitionistic FS [39], complex bipolar picture FS [40] complex hesitant FS [41], [42], picture FS [43], and picture fuzzy soft set [44].…”

Section: A Future Directionmentioning

confidence: 99%

“…Because of the rich structure of BCFS, various scholars utilized this conception such as Mahmood et al [31] propounded Hamacher AOs, Mahmood et al [32] initiated AOs, and Mahmood and Rehman [33] initiated Dombi AOs. Further, Mahmood et al [34] propounded bipolar complex fuzzy (BCF) soft sets. Then again, because of the intricacy ofthe information on MADM issues and the vagueness of human discernment, it is hard to structure such sort of information by quantitative values.…”

Section: Introductionmentioning

confidence: 99%

Prioritization of Strategies of Digital Transformation of Supply Chain Employing Bipolar Complex Fuzzy Linguistic Aggregation Operators

2023

Self Cite

View full text Add to dashboard Cite

Digitalization has addressed all parts of organizations together with supply chain management. Innovations like installed RFID, GPS, and sensors have assisted organizations with changing their current conventional supply chain framework into more spry, adaptable, open, and cooperative computerized models. A lot of organizations want to get the advantages of digitalization, particularly in the supply chain But here, the biggest problem, that the organizations are facing is the ambiguities, i.e. how to select and evaluate the best strategy for the supply chain digital transformation (SCDT), on which criteria or attribute they can assess the strategies of SCDT, etc. Multi-attribute decision-making (MADM) procedure is the finest technique to evaluate and find out the finest strategy of the SCDT. To handle these ambiguities and for making the MADM technique, this study first establishes the concept of bipolar complex fuzzy linguistic sets (BCFLSs) and its essential properties. Furthermore, we scrutinize average and geometric AOs for BCFLS such as bipolar complex fuzzy linguistic weighted averaging (BCFLWA) and bipolar complex fuzzy linguistic weighted geometric (BCFLWG) operators along with their idempotency, boundedness, and monotonicity properties. After that, to exhibit the usefulness of our established notion and AOs in real life and the selection and evaluation of the strategy of digital transformation of the supply chain, we interpret a DM technique and explore a numerical example. To exhibit the supremacy of the defined BCFLS and defined AOs we compare them with certain prevailing conceptions.INDEX TERMS Digital transformation of supply chain, bipolar complex fuzzy linguistic sets, aggregation operators.

show abstract

“…Garge et al [16] explained a series aggregation operators under complex q-Rung orthopair fuzzy information and their application to DMs problems. Mehmood et al [17] explained all the properties of bipolar complex fuzzy soft set. Khan et al [18] explained all the properties of bipolar fuzzy complex soft set and their application to DMs problems.…”

Section: Brief Review On the Development Of Fuzzy Credibility Setmentioning

confidence: 99%

Analysis of S-Box Based on Image Encryption Application Using Complex Fuzzy Credibility Frank Aggregation Operators

et al. 2022

View full text Add to dashboard Cite

This article is about a criterion based on credibility complex fuzzy set (CCFS) to study the prevailing substitution boxes (S-box) and learn their properties to find out their suitability in image encryption applications. Also these criterion has its own properties which is discussed in detailed and on the basis of these properties we have to find the best optimal results and decide the suitability of an S-box to image encryption applications. S-box is the only components which produces the confusion in the every block cipher in the formation of image encryption. So, for this first we have to convert the matrix having colour image using the nonlinear components and also using the proposed algebraic structure of credibility complex fuzzy set to find the best S-box for image encryption based on its criterion. The analyses show that the readings of GRAY S-box is very good for image data. Contributions: As from literaure reveiw a FS contained one MD and IFS conatined two degrees which is MD and NMD. As these generalization of crisp set there is no detailed about the degree of accuarcy (credibility). So, here in this paper we have used the CFCS information which has MD and degree of credibility (accuracy) as well as we have develop a series of aggregation operators which is based on the Frank norms. And also we have discussed CoCoSo method under CFCS information.

show abstract

Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making

Cited by 63 publications

References 42 publications

Bipolar complex fuzzy subalgebras and ideals of BCK/BCI-algebras

Bipolar complex fuzzy subalgebras and ideals of BCK/BCI-algebras

Prioritization of Strategies of Digital Transformation of Supply Chain Employing Bipolar Complex Fuzzy Linguistic Aggregation Operators

Analysis of S-Box Based on Image Encryption Application Using Complex Fuzzy Credibility Frank Aggregation Operators

Contact Info

Product

Resources

About