scholarly journals Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1922
Author(s):  
Zeeshan Ali ◽  
Tahir Mahmood ◽  
Muhammad Aslam ◽  
Ronnason Chinram
Keyword(s):  
Decision Making ◽  
Weighted Averaging ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Valuable Procedure ◽  
Ordered Weighted Averaging Operator ◽  
Fuzzy Soft Sets ◽  
Prioritized Aggregation Operators ◽  
Geometric Operator

In a conventional interpretation of decision-making based on ambiguity, a decision-maker must prefer the best possible opportunity including various feasible possibilities. However, the dilemma of picking the best possible alternative has continued to be a substantial task to resolve. In this manuscript, we improve the existing complex intuitionistic fuzzy soft set (CIFSS), which includes the grade of truth and falsity with the rule that the sum of the real and imaginary parts of both grades is confined to [0, 1]. CIFS is a valuable procedure to determine the authenticity and consistency of the elaborated approaches. The fundamental laws and their related examples are also determined. Moreover, by using these laws, we investigated the complex intuitionistic fuzzy soft prioritized weighted averaging operator (CIFSPWAO), the complex intuitionistic fuzzy soft prioritized ordered weighted averaging operator (CIFSPOWAO), the complex intuitionistic fuzzy soft prioritized weighted geometric operator (CIFSPWGO), complex intuitionistic fuzzy soft prioritized ordered weighted geometric operator (CIFSPOWGO), and their related properties are also developed. Based on the developed operators, the multiattribute decision-making (MADM) tool is developed by using the explored operators based on CIFSS. Some numerical examples are also illustrated by using the investigated operators to determine the feasibility and consistency of the developed approaches. Finally, the comparative analysis and their geometrical manifestations are also determined to enhance the excellence of the performed explorations.

Ranking Alternatives Based on Intuitionistic Preference Relation

2014 ◽  
Vol 13 (06) ◽  
pp. 1259-1281 ◽  
Author(s):  
Zeshui Xu
Keyword(s):  
Decision Making ◽  
Preference Relation ◽  
Weighted Averaging ◽  
Fuzzy Decision Making ◽  
Ranking Methods ◽  
Ordered Weighted Averaging ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Ordered Weighted Averaging Operator ◽  
Geometric Operator

In fuzzy decision-making environments, intuitionistic preference relation is highly useful in depicting uncertainty and vagueness of preference information provided by the decision maker. In the process of decision making with intuitionistic preference relation, the most crucial issue is how to derive the ranking of alternatives from intuitionistic preference relation. In this article, we investigate the ranking methods of alternatives on the basis of intuitionistic preference relation from various angles, which are based on the intuitionistic fuzzy ordered weighted averaging operator, the intuitionistic fuzzy ordered weighted geometric operator, the uncertain averaging operator, the uncertain geometric operator, the uncertain ordered weighted averaging operator, and the uncertain ordered weighted geometric operator, respectively, and study their desirable properties. Moreover, we give a numerical analysis of the developed ranking methods by a practical example, and finally discuss further research directions.

scholarly journals Another View of Aggregation Operators on Group-Based Generalized Intuitionistic Fuzzy Soft Sets: Multi-Attribute Decision Making Methods

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 753 ◽  
Author(s):  
Khizar Hayat ◽  
Muhammad Ali ◽  
Bing-Yuan Cao ◽  
Faruk Karaaslan ◽  
Xiao-Peng Yang
Keyword(s):  
Decision Making ◽  
Aggregation Operators ◽  
Soft Set ◽  
Weighted Averaging ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Multi Attribute Decision Making ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

In this paper, the existing definition of the group-based generalized intuitionistic fuzzy soft set is clarified and redefined by merging intuitionistic fuzzy soft set over the set of alternatives and a group of intuitionistic fuzzy sets on parameters. In this prospect, two new subsets of the group-based generalized intuitionistic fuzzy soft set are proposed and several operations are contemplated. The two new aggregation operators called generalized group-based weighted averaging and generalized group-based weighted geometric operator are introduced. The related properties of proposed operators are discussed. The recent research is emerging on multi-attribute decision making methods based on soft sets, intuitionistic fuzzy soft sets, and generalized intuitionistic fuzzy soft sets. An algorithm is structured and two case studies of multi-attribute decision makings are considered using proposed operators. Further, we provide the comparison and advantages of the proposed method, which give superiorities over recent major existing methods.

Aggregation operators of pythagorean fuzzy soft sets with their application for green supplier chain management

2021 ◽  
pp. 1-19
Author(s):  
Rana Muhammad Zulqarnain ◽  
Xiao Long Xin ◽  
Harish Garg ◽  
Waseem Asghar Khan
Keyword(s):  
Decision Making ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Soft Sets ◽  
Chain Management ◽  
Intuitionistic Fuzzy ◽  
Operational Laws ◽  
Fuzzy Soft Sets ◽  
Projected Methods ◽  
Intuitionistic Fuzzy Soft Sets

The Pythagorean fuzzy soft sets (PFSS) is a parametrized family and one of the appropriate extensions of the Pythagorean fuzzy sets (PFS). It’s also a generalization of intuitionistic fuzzy soft sets, used to accurately assess deficiencies, uncertainties, and anxiety in evaluation. The most important advantage of PFSS over existing sets is that the PFS family is considered a parametric tool. The PFSS can accommodate more uncertainty comparative to the intuitionistic fuzzy soft sets, this is the most important strategy to explain fuzzy information in the decision-making process. The main objective of the present research is to progress some operational laws along with their corresponding aggregation operators in a Pythagorean fuzzy soft environment. In this article, we introduce Pythagorean fuzzy soft weighted averaging (PFSWA) and Pythagorean fuzzy soft weighted geometric (PFSWG) operators and discuss their desirable characteristics. Also, develop a decision-making technique based on the proposed operators. Through the developed methodology, a technique for solving decision-making concerns is planned. Moreover, an application of the projected methods is presented for green supplier selection in green supply chain management (GSCM). A comparative analysis with the advantages, effectiveness, flexibility, and numerous existing studies demonstrates the effectiveness of this method.

scholarly journals Research on the decision-making of flood prevention emergency plans during reservoir construction based on generalized intuitionistic fuzzy soft sets and TOPSIS

2020 ◽  
Vol 20 (8) ◽  
pp. 3665-3675
Author(s):  
Han Wu ◽  
Junwu Wang ◽  
Jingtao Feng ◽  
Denghui Liu ◽  
Sen Liu
Keyword(s):  
Decision Making ◽  
Evaluation Index System ◽  
Weighted Averaging ◽  
Soft Sets ◽  
Emergency Plans ◽  
Flood Prevention ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

Abstract Reservoir engineering is of great significance for the reduction of regional flood disasters and ensuring the sustainable development of agriculture. This paper proposed a decision-making model based on generalized intuitionistic fuzzy soft sets and TOPSIS. First, an evaluation index system was comprehensively identified and constructed. Then, generalized intuitionistic fuzzy soft sets were used to describe the index attribute values of emergency plans to fully reflect the certainty, uncertainty, and hesitancy of indexes, and their weights were calculated by Fuzzy Ordered Weighted Averaging (FOWA) to adequately consider the ambiguity of experts' judgment. Finally, the TOPSIS method was extended via the generalized intuitionistic fuzzy soft sets to the sequencing of emergency plans. In addition, the Wangjiazhou Reservoir Project in China was selected as a case study. The case study demonstrated that full use of emergency materials and personnel was the most important factor, and the plan of the overflow rock-fill dam was the optimal flood prevention emergency plan. Compared with the classical TOPSIS, the new model proposed in this paper was found to have improved feasibility and effectiveness, and its evaluation results were more objective and reasonable. Therefore, the proposed method could provide both theoretical and practical reference.

Ordered Intuitionistic Fuzzy Soft Sets and Its Application in Decision Making Problem

2018 ◽  
Vol 7 (3) ◽  
pp. 76-98
Author(s):  
Pachaiyappan Muthukumar ◽  
Sai Sundara Krishnan Gangadharan
Keyword(s):  
Decision Making ◽  
Soft Sets ◽  
Numerical Example ◽  
Intuitionistic Fuzzy ◽  
Decision Making Problem ◽  
Algebraic Properties ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

In this article, some new basic operations and results of Ordered Intuitionistic Fuzzy Soft (OIFS) sets, such as equality, complement, subset, union, intersection, OR, and AND operators along with several examples are investigated. Further, based on the analysis of several operations on OIFS sets, numerous algebraic properties and famous De Morgans inclusions and De Morgans laws are established. Finally, using the notions of OIFS sets, an algorithm is developed and implemented in a numerical example.

scholarly journals Minkowski Weighted Score Functions of Intuitionistic Fuzzy Values

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1143
Author(s):  
Feng Feng ◽  
Yujuan Zheng ◽  
José Carlos R. Alcantud ◽  
Qian Wang
Keyword(s):  
Decision Making ◽  
Score Function ◽  
Soft Sets ◽  
Score Functions ◽  
Intuitionistic Fuzzy ◽  
Geometric Point ◽  
Weighted Score ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Value ◽  
Intuitionistic Fuzzy Soft Sets

In multiple attribute decision-making in an intuitionistic fuzzy environment, the decision information is sometimes given by intuitionistic fuzzy soft sets. In order to address intuitionistic fuzzy decision-making problems in a more efficient way, many scholars have produced increasingly better procedures for ranking intuitionistic fuzzy values. In this study, we further investigate the problem of ranking intuitionistic fuzzy values from a geometric point of view, and we produce related applications to decision-making. We present Minkowski score functions of intuitionistic fuzzy values, which are natural generalizations of the expectation score function and other useful score functions in the literature. The rationale for Minkowski score functions lies in the geometric intuition that a better score should be assigned to an intuitionistic fuzzy value farther from the negative ideal intuitionistic fuzzy value. To capture the subjective attitude of decision makers, we further propose the Minkowski weighted score function that incorporates an attitudinal parameter. The Minkowski score function is a special case corresponding to a neutral attitude. Some fundamental properties of Minkowski (weighted) score functions are examined in detail. With the aid of the Minkowski weighted score function and the maximizing deviation method, we design a new algorithm for solving decision-making problems based on intuitionistic fuzzy soft sets. Moreover, two numerical examples regarding risk investment and supplier selection are employed to conduct comparative analyses and to demonstrate the feasibility of the approach proposed in this article.

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