A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making

2017 ◽  
Vol 54 ◽  
pp. 393-402 ◽  
Author(s):  
Jianming Zhan ◽  
Qi Liu ◽  
Tutut Herawan
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Group Decision Making ◽  
Group Decision ◽  
Multicriteria Group Decision Making ◽  
Soft Rough Set

scholarly journals On Soft Rough Topology with Multi-Attribute Group Decision Making

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 67 ◽  
Author(s):  
Muhammad Riaz ◽  
Florentin Smarandache ◽  
Atiqa Firdous ◽  
Atiqa Fakhar
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Group Decision Making ◽  
Topological Structure ◽  
Group Decision ◽  
Continuous Mapping ◽  
Product Topology ◽  
Closed Sets ◽  
Open Set ◽  
Soft Rough Set

Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. In this paper, we develop the topological structure on soft rough set ( SR -set) by using pairwise SR -approximations. We define SR -open set, SR -closed sets, SR -closure, SR -interior, SR -neighborhood, SR -bases, product topology on SR -sets, continuous mapping, and compactness in soft rough topological space ( SRTS ). The developments of the theory on SR -set and SR -topology exhibit not only an important theoretical value but also represent significant applications of SR -sets. We applied an algorithm based on SR -set to multi-attribute group decision making (MAGDM) to deal with uncertainty.

scholarly journals An application of multicriteria group decision making by soft covering based rough sets

Filomat ◽  
2015 ◽  
Vol 29 (1) ◽  
pp. 209-219 ◽  
Author(s):  
Şaziye Yüksel ◽  
Naime Tozlu ◽  
Tuğba Dizman
Keyword(s):  
Prostate Cancer ◽  
Decision Making ◽  
Cancer Risk ◽  
Rough Set ◽  
Group Decision Making ◽  
Rough Sets ◽  
Group Decision ◽  
Prostate Cancer Risk ◽  
Multicriteria Group Decision Making

In this work we define soft covering based rough set and present its related properties. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our datas are 56 patients from Selcuk University Meram Medicine Faculty.

A multicriteria group decision-making method based on AIVIFSs, Z-numbers, and trapezium clouds

2021 ◽  
Vol 566 ◽  
pp. 38-56
Author(s):  
Qianlei Jia ◽  
Jiayue Hu ◽  
Qizhi He ◽  
Weiguo Zhang ◽  
Ehab Safwat
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Multicriteria Group Decision Making
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