Cloud Generalized Power Ordered Weighted Average Operator and Its Application to Linguistic Group Decision-Making

The purpose of this paper is to propose a new approach to interactive multi-attribute group decision making with triangular Atanassov's intuitionistic fuzzy numbers (TAIFNs). The contribution of this study is fivefold: (1) Minkowski distance between TAIFNs is firstly defined; (2) We define the possibility attitudinal expected values of TAIFNs and thereby present a novel risk attitudinal ranking method of TAIFNs which can sufficiently consider the risk attitude of decision maker; (3) The weighted average operator (TAIFWA) and generalized ordered weighted average (TAIFGWA) operator of TAIFNs are defined as well as the hybrid ordered weighted average (TAIFHOWA) operator; (4) To study the interaction between attributes, we further develop the generalized Choquet (TAIF-GC) integral operator and generalized hybrid Choquet (TAIF-GHC) integral operator of TAIFNs. Their desirable properties are also discussed; (5) The individual overall value of alternative is obtained by TAIF-GC operator and the collective one is derived through TAIFWA operator. Fuzzy measures of attribute subsets and expert weights are objectively derived through constructing multi-objective optimization model which is transformed into the goal programming model to solve. The system analyst selection example verifies effectiveness of the proposed approach.

Download Full-text

Power Average Operators of Trapezoidal Cubic Fuzzy Numbers and Application to Multi-attribute Group Decision Making

Journal of Intelligent Systems ◽

10.1515/jisys-2018-0122 ◽

2019 ◽

Vol 29 (1) ◽

pp. 1643-1661

Author(s):

Aliya Fahmi ◽

Fazli Amin ◽

Saleem Abdullah ◽

Muhammad Shakeel

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Fuzzy Numbers ◽

Group Decision ◽

Weighted Average ◽

Average Operator ◽

Decision Method ◽

General Evaluation ◽

Overall Evaluation ◽

The Individual

Abstract Trapezoidal cubic fuzzy numbers (TzCFNs) are an extraordinary cubic fuzzy set on a real number set. TzCFNs are useful for dealing with well-known quantities in decision data and decision making problems themselves. This paper is about multi-attribute group decision making problems in which the attribute values are stated with TzCFNs, which are solved by developing a new decision method based on power average operators of TzCFNs. The new operation laws for TzCFNs are given. Hereby, the power average operator of real numbers is extended to four kinds of power average operators of TzCFNs, involving the power average operator of TzCFNs, the weighted power average operator of TzCFNs, the power ordered weighted average operator of TzCFNs, and the power hybrid average operator of TzCFNs. In the proposed group decision method, the individual overall evaluation values of alternatives are generated by using the power average operator of TzCFNs. Applying the hybrid average operator of TzCFNs, the specific general evaluation standards of alternatives are then combined into the collective ones, which are used to rank the alternatives. The example analysis shows the practicality and effectiveness of the proposed method.

Download Full-text

Multiple attribute group decision making based on generalized trapezoid fuzzy linguistic prioritized weighted average operator

International Journal of Machine Learning and Cybernetics ◽

10.1007/s13042-016-0579-y ◽

2016 ◽

Vol 8 (6) ◽

pp. 1993-2007 ◽

Cited By ~ 12

Author(s):

Rajkumar Verma

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Weighted Average ◽

Average Operator ◽

Multiple Attribute ◽

Fuzzy Linguistic

Download Full-text

m-Polar Fuzzy Soft Weighted Aggregation Operators and Their Applications in Group Decision-Making

Symmetry ◽

10.3390/sym10110636 ◽

2018 ◽

Vol 10 (11) ◽

pp. 636 ◽

Cited By ~ 7

Author(s):

Azadeh Khameneh ◽

Adem Kiliçman

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Weighted Average ◽

Aggregation Operator ◽

Aggregation Operators ◽

Soft Sets ◽

Fuzzy Soft Sets ◽

Ordered Weighted Average ◽

Magdm Problems

Aggregation operators are important tools for solving multi-attribute group decision-making (MAGDM) problems. The main challenging issue for aggregating data in a MAGDM problem is how to develop a symmetric aggregation operator expressing the decision makers’ behavior. In the literature, there are some methods dealing with this difficulty; however, they lack an effective approach for multi-polar inputs. In this study, a new aggregation operator for m-polar fuzzy soft sets (M-pFSMWM) reflecting different agreement scenarios within a group is presented to proceed MAGDM problems in which both attributes and experts have different weights. Moreover, some desirable properties of M-pFSMWM operator, such as idempotency, monotonicity, and commutativity (symmetric), that means being invariant under any permutation of the input arguments, are studied. Further, m-polar fuzzy soft induced ordered weighted average (M-pFSIOWA) operator and m-polar fuzzy soft induced ordered weighted geometric (M-pFSIOWG) operator, which are extensions of IOWA and IOWG operators, respectively, are developed. Two algorithms are also designed based on the proposed operators to find the final solution in MAGDM problems with weighted multi-polar fuzzy soft information. Finally, the efficiency of the proposed methods is illustrated by some numerical examples. The characteristic comparison of the proposed aggregation operators shows the M-pFSMWM operator is more adaptable for solving MAGDM problems in which different cases of agreement affect the final outcome.

Download Full-text

Picture fuzzy multi-criteria group decision-making method to hotel building energy efficiency retrofit project selection

RAIRO - Operations Research ◽

10.1051/ro/2019004 ◽

2020 ◽

Vol 54 (1) ◽

pp. 211-229 ◽

Cited By ~ 21

Author(s):

Le Wang ◽

Hong-Yu Zhang ◽

Jian-Qiang Wang ◽

Guo-Fang Wu

Keyword(s):

Decision Making ◽

Energy Efficiency ◽

Energy Consumption ◽

Group Decision Making ◽

Group Decision ◽

Weighted Average ◽

Building Energy ◽

Project Selection ◽

Building Energy Efficiency ◽

Average Operator

Building energy consumption accounts for a considerable proportion on energy consumption. To reduce building energy consumption, building energy efficiency retrofitting (BEER) based on Energy Performance Contracting mechanism is the most feasible and cost-effective method. With the increase number of BEER projects, BEER project selection has become an essential problem for energy service companies. In this paper, a multi-criteria group decision-making (MCGDM) method is proposed to deal with BEER project selection problem. First, picture fuzzy sets are employed to describe the evaluation information under the complex and uncertain environment. Subsequently, picture fuzzy weighted average operator and Laplace distribution-picture fuzzy order weighted average operator are proposed based on convex combination to aggregate individual evaluations into the overall evaluations. Furthermore, picture fuzzy TOPSIS-based QUALIFLEX method is developed to identify the optimal ranking of alternatives. Moreover, the practicality, effectiveness and advantages of the proposed MCGDM method are illustrated using a case study of hotel BEER project selection and comparative analysis. Finally, conclusions about primary contributions, and future discussions of the proposed method are demonstrated.

Download Full-text

Induced Power Aggregation Operators and their Applications in Group Decision Making

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.404.672 ◽

2013 ◽

Vol 404 ◽

pp. 672-677 ◽

Cited By ~ 1

Author(s):

Jin Han Park ◽

Jung Mi Park ◽

Young Chel Kwun ◽

Ja Hong Koo

Keyword(s):

Decision Making ◽

Group Decision Making ◽

General Type ◽

Group Decision ◽

Weighted Average ◽

Aggregation Operators ◽

Multiple Attribute ◽

Ordered Weighted Average

The power ordered weighted average (POWA) operator and the power ordered weighted geometric (POWG) operator are the two nonlinear weighted average aggregation tools whose weighting vectors depend on their input arguments. In this paper, as a more general type of POWA and POWG operators, respectively, we develop two induced power aggregation operators called the induced POWA (IPOWA) operator and the induced POWG (IPOWG) operator, respectively, and establish various properties of these induced power aggregation operators, and then apply them, respectively, to develop an approach to multiple attribute group decision making.

Download Full-text

Group decision-making for the selection of an antivirus mask under fermatean fuzzy soft information

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-201760 ◽

2021 ◽

Vol 40 (1) ◽

pp. 1401-1416

Author(s):

Gulfam Shahzadi ◽

Muhammad Akram

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Weighted Average ◽

Soft Information ◽

Fuzzy Soft Set ◽

Fundamental Properties ◽

Basic Purpose ◽

Ordered Weighted Average ◽

Selection Of

With the rapid increase of COVID-19, mostly people are facing antivirus mask shortages. It is necessary to select a good antivirus mask and make it useful for everyone. For maximize the efficacy of the antivirus masks, we propose a decision support algorithm based on the concept of Fermatean fuzzy soft set (FFSfS). The basic purpose of this article is to introduce the notion of FFSfS to deal with problems involving uncertainty and complexity corresponding to various parameters. Here, the valuable properties of FFSfS are merged with the Yager operator to propose four new operators, namely, Fermatean fuzzy soft Yager weighted average (FFSfYWA), Fermatean fuzzy soft Yager ordered weighted average (FFSfYOWA), Fermatean fuzzy soft Yager weighted geometric (FFSfYWG) and Fermatean fuzzy soft Yager ordered weighted geometric (FFSfYOWG) operators. The fundamental properties of proposed operators are discussed. For the importance of proposed operators, a multi-attribute group decision-making (MAGDM) strategy is presented along with an application for the selection of an antivirus mask over the COVID-19 pandemic. The comparison with existing operators shows that existing operators cannot deal with data involving parametric study but developed operators have the ability to deal decision-making problems using parameterized information.

Download Full-text

A Multi-Criteria Group Decision Making Model for Green Supplier Selection under the Ordered Weighted Hesitant Fuzzy Environment

Symmetry ◽

10.3390/sym11010017 ◽

2018 ◽

Vol 11 (1) ◽

pp. 17 ◽

Cited By ~ 7

Author(s):

Yumin Liu ◽

Linlin Jin ◽

Feng Zhu

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Supplier Selection ◽

Group Decision ◽

Weighted Average ◽

Hesitant Fuzzy Set ◽

Average Operator ◽

Green Supplier Selection ◽

Fuzzy Environment ◽

Decision Making Model

The green supplier selection (GSS) problem is one of the most pressing issues that can directly affect manufacturer performance. GSS has been studied in previous literature, which is considered to be a typical multiple criteria group decision making (MCGDM) problemThe ordered weighted hesitant fuzzy MCGDM method can present the importance of each possible value, and the priority relationship among criteria has rarely been studied. In this study, we first extend the prioritized average (PA) operator to the ordered weighted hesitant fuzzy set (OWHFS) for solving the both problems. The generalized ordered weighted hesitant fuzzy prioritized weighted average operator (GOWHFPWA) is recommended, and some desirable properties are discussed. Based on this operator, a novel MCGDM method for GSS is developed. A numerical example of GSS is then given to prove the robustness of the proposed approach, and a sensitivity analysis is used to identify the robustness of the proposed method. Finally, a comparative analysis based on the MCGDM approach with the hesitant fuzzy prioritized weighted average (HFPWA) operator is illustrated to indicate the validity and advantages of the proposed approach.

Download Full-text

Dynamic Intuitionistic Fuzzy Multi-Attribute Group Decision-Making Based on Power Geometric Weighted Average Operator and Prediction Model

Symmetry ◽

10.3390/sym10110536 ◽

2018 ◽

Vol 10 (11) ◽

pp. 536 ◽

Cited By ~ 3

Author(s):

Kedong Yin ◽

Pengyu Wang ◽

Xue Jin

Keyword(s):

Decision Making ◽

Prediction Model ◽

Group Decision Making ◽

Group Decision ◽

Weighted Average ◽

Determination Method ◽

Average Operator ◽

Intuitionistic Fuzzy

With respect to dynamic multi-attribute group decision-making (DMAGDM) problems, where attribute values take the form of intuitionistic fuzzy values (IFVs) and the weights (including expert, attribute and time weights) are unknown, the dynamic intuitionistic fuzzy power geometric weighted average (DIFPGWA) operator and the improved IFVs’ GM(1,1) prediction model (IFVs-GM(1,1)-PM) are proposed. First, the concept of IFVs, the operational rules, the distance between IFVs, and the comparing method of IFVs are defined. Second, the DIFPGWA operator and the improved IFVs-GM(1,1)-PM are defined in detail. Third, corresponding decision-making (D-M) steps are proposed. Three kinds of weights are given by the proposed determination method. Finally, an example is given to prove the effectiveness and superiority of the proposed decision-making method.

Download Full-text