scholarly journals Cubic M-polar Fuzzy Hybrid Aggregation Operators with Dombi’s T-norm and T-conorm with Application

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 646
Author(s):  
Muhammad Riaz ◽  
Muhammad Abdullah Khokhar ◽  
Dragan Pamucar ◽  
Muhammad Aslam
Keyword(s):  
Fuzzy Set ◽  
Circular Economy ◽  
Fuzzy Number ◽  
Aggregation Operators ◽  
Multi Criteria Decision Making ◽  
Comparison Analysis ◽  
Membership Grade ◽  
The Universe ◽  
Universe Of Discourse ◽  
Fuzzy Interval

A cubic m-polar fuzzy set (CmPFS) is a new hybrid extension of cubic set (CS) and m-polar fuzzy set (mPFS). A CS comprises two parts; one part consists of a fuzzy interval (may sometimes be a fuzzy number) acting as membership grade (MG), and the second part consists of a fuzzy number acting as non-membership grade (NMG). An mPFS assigns m number of MGs against each alternative in the universe of discourse. A CmPFS deals with single as well as multi-polar information in the cubic environment. In this article, we explore some new aspects and consequences of the CmPFS. We define score and accuracy functions to find the priorities of alternatives/objects in multi-criteria decision-making (MCDM). For this objective, some new operations, like addition, scalar/usual multiplication, and power, are defined under Dombi’s t-norm and t-conorm. We develop several new aggregation operators (AOs) using cubic m-polar fuzzy Dombi’s t-norm and t-conorm. We present certain properties of suggested operators like monotonicity, commutativity, idempotency, and boundedness. Additionally, to discuss the application of these AOs, we present an advanced superiority and inferiority ranking (SIR) technique to deal with the problem of conversion from a linear economy to a circular economy. Moreover, a comparison analysis of proposed methodology with some other existing methods is also given.

Complex q-rung orthopair fuzzy Schweizer–Sklar Muirhead mean aggregation operators and their application in multi-criteria decision-making

2021 ◽  
pp. 1-23
Author(s):  
Peide Liu ◽  
Tahir Mahmood ◽  
Zeeshan Ali
Keyword(s):  
Decision Making ◽  
Comparative Analysis ◽  
Imaginary Part ◽  
Fuzzy Set ◽  
Score Function ◽  
Aggregation Operators ◽  
Unit Interval ◽  
Multi Criteria Decision Making ◽  
Accuracy Function ◽  
Special Cases

Complex q-rung orthopair fuzzy set (CQROFS) is a proficient technique to describe awkward and complicated information by the truth and falsity grades with a condition that the sum of the q-powers of the real part and imaginary part is in unit interval. Further, Schweizer–Sklar (SS) operations are more flexible to aggregate the information, and the Muirhead mean (MM) operator can examine the interrelationships among the attributes, and it is more proficient and more generalized than many aggregation operators to cope with awkward and inconsistence information in realistic decision issues. The objectives of this manuscript are to explore the SS operators based on CQROFS and to study their score function, accuracy function, and their relationships. Further, based on these operators, some MM operators based on PFS, called complex q-rung orthopair fuzzy MM (CQROFMM) operator, complex q-rung orthopair fuzzy weighted MM (CQROFWMM) operator, and their special cases are presented. Additionally, the multi-criteria decision making (MCDM) approach is developed by using the explored operators based on CQROFS. Finally, the advantages and comparative analysis are also discussed.

scholarly journals Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

2021 ◽  
Author(s):  
Faruk Karaaslan ◽  
Mohammed Allaw Dawood Dawood
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Fuzzy Set ◽  
Multiple Criteria Decision Making ◽  
Aggregation Operators ◽  
Multi Criteria Decision Making ◽  
Two Dimensional ◽  
Weighted Arithmetic ◽  
Mcdm Method ◽  
Dombi Operations

AbstractComplex fuzzy (CF) sets (CFSs) have a significant role in modelling the problems involving two-dimensional information. Recently, the extensions of CFSs have gained the attention of researchers studying decision-making methods. The complex T-spherical fuzzy set (CTSFS) is an extension of the CFSs introduced in the last times. In this paper, we introduce the Dombi operations on CTSFSs. Based on Dombi operators, we define some aggregation operators, including complex T-spherical Dombi fuzzy weighted arithmetic averaging (CTSDFWAA) operator, complex T-spherical Dombi fuzzy weighted geometric averaging (CTSDFWGA) operator, complex T-spherical Dombi fuzzy ordered weighted arithmetic averaging (CTSDFOWAA) operator, complex T-spherical Dombi fuzzy ordered weighted geometric averaging (CTSDFOWGA) operator, and we obtain some of their properties. In addition, we develop a multi-criteria decision-making (MCDM) method under the CTSF environment and present an algorithm for the proposed method. To show the process of the proposed method, we present an example related to diagnosing the COVID-19. Besides this, we present a sensitivity analysis to reveal the advantages and restrictions of our method.

scholarly journals Logarithmic Hybrid Aggregation Operators Based on Single Valued Neutrosophic Sets and Their Applications in Decision Support Systems

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 364 ◽  
Author(s):  
Shahzaib Ashraf ◽  
Saleem Abdullah ◽  
Florentin Smarandache ◽  
Noor Amin
Keyword(s):  
Decision Making ◽  
Decision Process ◽  
Aggregation Operators ◽  
Decision Making Process ◽  
Practical Case ◽  
Multi Criteria Decision Making ◽  
Comparison Analysis ◽  
Negative Interaction ◽  
Positive Interaction ◽  
Neutrosophic Sets

Recently, neutrosophic sets are found to be more general and useful to express incomplete, indeterminate and inconsistent information. The purpose of this paper is to introduce new aggregation operators based on logarithmic operations and to develop a multi-criteria decision-making approach to study the interaction between the input argument under the single valued neutrosophic (SVN) environment. The main advantage of the proposed operator is that it can deal with the situations of the positive interaction, negative interaction or non-interaction among the criteria, during decision-making process. In this paper, we also defined some logarithmic operational rules on SVN sets, then we propose the single valued neutrosophic hybrid aggregation operators as a tool for multi-criteria decision-making (MCDM) under the neutrosophic environment and discussd some properties. Finally, the detailed decision-making steps for the single valued neutrosophic MCDM problems were developed, and a practical case was given to check the created approach and to illustrate its validity and superiority. Besides this, a systematic comparison analysis with other existent methods is conducted to reveal the advantages of our proposed method. Results indicate that the proposed method is suitable and effective for decision process to evaluate their best alternative.

Recommending Turmeric Variety for Higher Production Using Interval-Valued Fuzzy Soft Set Model and PSO

2021 ◽  
Vol 12 (2) ◽  
pp. 94-110
Author(s):  
R. K. Mohanty ◽  
B. K. Tripathy
Keyword(s):  
Uncertain Data ◽  
Optimization Technique ◽  
Soft Set ◽  
Soft Sets ◽  
Fuzzy Soft Sets ◽  
The Universe ◽  
Interval Valued ◽  
Better Than ◽  
Universe Of Discourse ◽  
Fuzzy Interval

Soft set is one of the latest mathematical models to handle uncertainty. In a soft set, every element of its parameter set is associated with a subset of the universe of discourse under consideration. In recent times, soft set and its hybrid models have been used extensively to handle decision making problems with uncertain data. It's established that an appropriate hybrid model works better than its basic components. In this article, an algorithm is proposed that is used to recommend the best variety of turmeric having a given set of parameters using Interval valued fuzzy soft sets. Most importantly, the priorities of parameters are taken as fuzzy interval values so that higher uncertainty can be handled properly. Reduction of parameters helps in getting down the complexity of the process under consideration. A metaheuristic optimization technique is a better option to handle these kinds of problems. The authors use particle swarm optimization (PSO) to achieve parameter reduction.

scholarly journals Multi-criteria decision making in robotic agri-farming with q-rung orthopair m-polar fuzzy sets

PLoS ONE ◽  
2021 ◽  
Vol 16 (2) ◽  
pp. e0246485
Author(s):  
Muhammad Riaz ◽  
Muhammad Tahir Hamid ◽  
Deeba Afzal ◽  
Dragan Pamucar ◽  
Yu-Ming Chu
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Computational Intelligence ◽  
Real Life ◽  
Multi Criteria Decision Making ◽  
Comparison Analysis ◽  
Relational Analysis ◽  
Hybrid Concept ◽  
Core Height ◽  
Grey Relational

q-Rung orthopair fuzzy set (qROFS) and m-polar fuzzy set (mPFS) are rudimentary concepts in the computational intelligence, which have diverse applications in fuzzy modeling and decision making under uncertainty. The aim of this paper is to introduce the hybrid concept of q-rung orthopair m-polar fuzzy set (qROmPFS) as a hybrid model of q-rung orthopair fuzzy set and m-polar fuzzy set. A qROmPFS has the ability to deal with real life situations when decision experts are interested to deal with multi-polarity as well as membership and non-membership grades to the alternatives in an extended domain with q-ROF environment. Certain operations on qROmPFSs and several new notions like support, core, height, concentration, dilation, α-cut and (α, β)-cut of qROmPFS are defined. Additionally, grey relational analysis (GRA) and choice value method (CVM) are presented under qROmPFSs for multi-criteria decision making (MCDM) in robotic agri-farming. The proposed methods are suitable to find out an appropriate mode of farming among several kinds of agri-farming. The applications of proposed MCDM approaches are illustrated by respective numerical examples. To justify the feasibility, superiority and reliability of proposed techniques, the comparison analysis of the final ranking in the robotic agri-farming computed by the proposed techniques with some existing MCDM methods is also given.

An intrinsic fuzzy set on the universe of discourse of predicate formulas

2006 ◽  
Vol 157 (24) ◽  
pp. 3145-3158 ◽  
Author(s):  
Guo-Jun Wang ◽  
Xiao-Yan Qin ◽  
Xiang-Nan Zhou
Keyword(s):  
Fuzzy Set ◽  
The Universe ◽  
Universe Of Discourse

Cubic bipolar fuzzy Dombi averaging aggregation operators with application to multi-criteria decision-making

2021 ◽  
pp. 1-21
Author(s):  
Muhammad Riaz ◽  
Anam Habib ◽  
Muhammad Aslam
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Research Work ◽  
Information Aggregation ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Multi Criteria Decision Making ◽  
Operational Parameters ◽  
New Approach ◽  
Bipolar Fuzzy Sets

 A cubic bipolar fuzzy set (CBFS) is a new approach in computational intelligence and decision-making under uncertainty. This model is the generalization of bipolar fuzzy sets to deal with two-sided contrasting features which can describe the information with a bipolar fuzzy number and an interval-valued bipolar fuzzy number simultaneously. In this paper, the Dombi’s operations are analyzed for information aggregation of cubic bipolar fuzzy numbers (CBFNs). The Dombi’s operations carry the advantage of more pliability and reliability due to the existence of their operational parameters. Owing to the pliable nature of Dombi’s operators, this research work introduces new aggregation operators named as cubic bipolar fuzzy Dombi weighted averaging (CBFDWA) operator and cubic bipolar fuzzy Dombi ordered weighted averaging (CBFDOWA) operator with ℙ -order and ℝ -order, respectively. Additionally, this paper presents some significant characteristics of suggested operators including, idempotency, boundedness and monotonicity. Moreover, a robust multi-criteria decision making (MCDM) technique is developed by using ℙ -CBFDWA and ℝ -CBFDWA operators. Based on the suggested operators a practical application is demonstrated towards MCDM under uncertainty. The comparison analysis of suggested Dombi’s operators with existing operators is also given to discuss the rationality, efficiency and applicability of these operators.

scholarly journals Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 1000
Author(s):  
Arshad Ahmad Khan ◽  
Muhammad Qiyas ◽  
Saleem Abdullah ◽  
Jianchao Luo ◽  
Mahwish Bano
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Comparison Analysis ◽  
Practical Application ◽  
Multiple Attribute ◽  
Decision Making Model ◽  
Fuzzy Linguistic ◽  
Robot Selection

The aim of this article is to propose the 2-tuple picture fuzzy linguistic aggregation operators and a decision-making model to deal with uncertainties in the form of 2-tuple picture fuzzy linguistic sets; 2-tuple picture fuzzy linguistic operators have more flexibility than general fuzzy set. We proposed a number of aggregation operators, namely, 2-TPFLWA, 2-TPFLOWA, 2-TPFLHA, 2-TPFLWG, 2-TPFLOWG, and 2-TPFLHG operators. The distinguished feature of the developed operators are studied. At that point, we used these operators to design a model to deal with multiple attribute decision-making issues under the 2-tuple picture fuzzy linguistic information. Then, a practical application of robot selection by manufacturing unit is given to prove the introduced technique and to show its practicability and effectiveness. Besides this, a systematic comparison analysis with other existent approaches is conducted to reveal the advantage of our developed method. Results indicate that the proposed method is suitable and effective for decision-making problems.

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