Decision-Making Based on q-Rung Orthopair Fuzzy Soft Rough Sets
Joint Authors
Mahmood, Tahir
Wu, Hecheng
Wang, Yinyu
Hussain, Azmat
Ali, Muhammad Irfan
Jin, Yun
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-22
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Recently, Yager presented the new concept of q-rung orthopair fuzzy (q-ROF) set (q-ROFS) which emerged as the most significant generalization of Pythagorean fuzzy set (PFS).
From the analysis of q-ROFS, it is clear that the rung q is the most significant feature of this notion.
When the rung q increases, the orthopair adjusts in the boundary range which is needed.
Thus, the input range of q-ROFS is more flexible, resilient, and suitable than the intuitionistic fuzzy set (IFS) and PFS.
The aim of this manuscript is to investigate the hybrid concept of soft set (StS) and rough set with the notion of q-ROFS to obtain the new notion of q-ROF soft rough (q-ROFStR) set (q-ROFStRS).
In addition, some averaging aggregation operators such as q-ROFStR weighted averaging (q-ROFStRWA), q-ROFStR ordered weighted averaging (q-ROFStROWA), and q-ROFStR hybrid averaging (q-ROFStRHA) operators are presented.
Then, the basic desirable properties of these investigated averaging operators are discussed in detail.
Moreover, we investigated the geometric aggregation operators, such as q-ROFStR weighted geometric (q-ROFStRWG), q-ROFStR ordered weighted geometric (q-ROFStROWG), and q-ROFStR hybrid geometric (q-ROFStRHG) operators, and proposed the basic desirable characteristics of the investigated geometric operators.
The technique for multicriteria decision-making (MCDM) and the stepwise algorithm for decision-making by utilizing the proposed approaches are demonstrated clearly.
Finally, a numerical example for the developed approach is presented and a comparative study of the investigated models with some existing methods is brought to light in detail which shows that the initiated models are more effective and useful than the existing methodologies.
American Psychological Association (APA)
Wang, Yinyu& Hussain, Azmat& Mahmood, Tahir& Ali, Muhammad Irfan& Wu, Hecheng& Jin, Yun. 2020. Decision-Making Based on q-Rung Orthopair Fuzzy Soft Rough Sets. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1197108
Modern Language Association (MLA)
Wang, Yinyu…[et al.]. Decision-Making Based on q-Rung Orthopair Fuzzy Soft Rough Sets. Mathematical Problems in Engineering No. 2020 (2020), pp.1-21.
https://search.emarefa.net/detail/BIM-1197108
American Medical Association (AMA)
Wang, Yinyu& Hussain, Azmat& Mahmood, Tahir& Ali, Muhammad Irfan& Wu, Hecheng& Jin, Yun. Decision-Making Based on q-Rung Orthopair Fuzzy Soft Rough Sets. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1197108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197108