CN‐q‐ROFS: Connection number‐based q ‐rung orthopair fuzzy set and their application to decision‐making process

2021 ◽  
Author(s):  
Harish Garg
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Decision Making Process ◽  
Connection Number

scholarly journals Multi-attribute group decision-making process based on possibility degree and operators for intuitionistic multiplicative set

2021 ◽  
Author(s):  
Harish Garg
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Decision Making Process ◽  
Uncertain Information ◽  
Connection Number ◽  
Possibility Degree ◽  
Multiple Attribute ◽  
The Given

AbstractThis paper aims to present a novel multiple attribute group decision-making process under the intuitionistic multiplicative preference set environment. In it, Saaty’s 1/9-9 scale is used to express the imprecise information which is asymmetrical distribution about 1. To achieve it, the present work is divided into three folds. First, a concept of connection number-based intuitionistic multiplicative set (CN-IMS) is formulated by considering three degrees namely “identity”, “contrary”, and “discrepancy” of the set and study their features. Second, to rank the given number, we define a novel possibility degree measure which compute the degree of possibility within the given objects. Finally, several aggregation operators on the pairs of the given numbers are designed and investigated their fundamental inequalities and relations. To explain the presented measures and operators, a group decision-making approach is promoted to solve the problems with uncertain information and illustrated with several examples. The advantages, comparative, as well as perfection analysis of the proposed framework are furnished to confirm the approach.

scholarly journals GINI SIMPSON INDEX FOR PICTURE FUZZY SETS WITH THEIR APPLICATION IN MULTI -ATTRIBUTE DECISION MAKING PROCESS

2021 ◽  
Vol 9 (1) ◽  
pp. 680-690
Author(s):  
Sunit Kumar, Satish Kumar
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Decision Making Process ◽  
Mathematical Framework ◽  
Simpson Index ◽  
Fuzzy Environment ◽  
Picture Fuzzy Set ◽  
Criteria Weights ◽  
Multi Attribute Decision Making ◽  
Picture Fuzzy Sets

In present paper, we proposed a Gini Simpson index for picture fuzzy set with their application in MADM and discuss it’s properties which are investigated in a mathematical framework. We developed an algorithm based on TODIM(An acronym in Portuguess for interactive multi-attribute decision making) which we applied ton the proposed entropy to solve the MADM problems under the picture fuzzy environment when the criteria weights are completely known. With took a numerical example on Muthoot Finance Limited to demonstrate the applicability and feasibility of the proposed approach.

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