A Decision‐Making Approach for the Evaluation of Information Security Management under Complex Intuitionistic Fuzzy Set Environment

Azam, Muhammad Hamza; Khan, Muhammad Numan; Yang, Shilin

doi:10.1155/2022/9704466

Cited by 24 publications

(7 citation statements)

References 36 publications

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“…Decision-making has been performed by fundamentally considering the data as fuzzy sets in many existing problems [1][2][3][4][5][6]. Specifically, problems in the decision-making of multiple criteria have been resolved using fuzzy sets (FSs) and intuitionistic fuzzy sets (IFSs) [7,8].…”

Section: Introductionmentioning

confidence: 99%

Analysis on the Hesitation and its Application to Decision Making

Yang,

Lee,

Kim

et al. 2024

Decis. Mak. Appl. Manag. Eng.

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A novel score function based on the Poincaré metric is proposed and applied to a decision-making problem. Decision-making on Fuzzy Sets (FSs) has been considered due to the flexibility of the data, and it is applied to the decision-making. However, decisions with FSs are sometimes nondecisive even for different membership degrees. Hence, Intuitionistic Fuzzy Sets (IFSs) data is applied to design a score function for the decision-making with the Poincaré metric. This function is supported by the profound information of IFSs; IFSs include hesitation degree together with membership and non-membership degree. Hence, IFS membership and non-membership degree are expressed as two-dimensional vectors satisfying the Poincaré metric for simplification. At the same time, the proposed approach addresses the hesitation information in the IFS data. Next, a score function is proposed, constructed and provided. The proposed score function has a strict monotonic property and addresses the preference without resorting to the accuracy function. The strict monotonic property guarantees the preference of all attributes. Additionally, the existing problem of score function design in IFSs is addressed: they return zero scores even with different meanings for the same membership and non-membership degree. The advantages of the proposed score function over existing ones are demonstrated through illustrative examples. From the calculation results, the proposed decision score function discriminates between all candidates. Hence, the proposed research provides a solid foundation for the hesitation analysis on the decision-making problem.

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Section: Introductionmentioning

confidence: 99%

Analysis on the Hesitation and its Application to Decision Making

Yang,

Lee,

Kim

et al. 2024

Decis. Mak. Appl. Manag. Eng.

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“…Mahmood et al [27] studied Heronian mean operators for managing complex picture fuzzy uncertain linguistic settings. Azam et al [28] developed a decision-making approach for the evaluation of information security management under a complex intuitionistic fuzzy set environment. Garg et al [29] proposed a decisionmaking approach based on generalized aggregation operators with complex single-valued neutrosophic hesitant fuzzy set information.…”

Section: Introductionmentioning

confidence: 99%

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

2023

Symmetry

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In this paper, based on the advantages of q-rung orthopair fuzzy sets (q-ROFSs), complex fuzzy sets (CFSs) and cubic sets (CSs), the concept of complex cubic q-rung orthopair fuzzy sets (CCuq-ROFSs) is introduced and their operation rules and properties are discussed. The objective of this paper was to develop some novel Maclaurin symmetric mean (MSM) operators for any complex cubic q-rung orthopair fuzzy numbers (CCuq-ROFNs) using Hamacher t-norm and t-conorm inspired arithmetic operations. The advantage of employing Hamacher t-norm and t-conorm based arithmetic operations with the MSM operator lies in their ability to take into account not only the interrelationships among multiple attributes but also to provide flexibility in the aggregation process due to the involvement of additional parameters. Also, the prominent characteristic of the MSM is that it can capture the interrelationship among the multi-input arguments and can provide more flexible and robust information fusion. Thus, based on the CCuq-ROF environment, we develop some new Hamacher operations for CCuq-ROFSs, such as the complex cubic q-rung orthopair fuzzy Hamacher average (CCuq-ROFHA) operator, the weighted complex cubic q-rung orthopair fuzzy Hamacher average (WCCuq-ROFHA) operator, the complex cubic q-rung orthopair fuzzy Hamacher Maclaurin symmetric mean (CCuq-ROFHMSM) operator and the weighted complex cubic q-rung orthopair fuzzy Hamacher Maclaurin symmetric mean (WCCuq-ROFHMSM) operator. Further, we develop a novel multi-attribute group decision-making (MAGDM) approach based on the proposed operators in a complex cubic q-rung orthopair fuzzy environment. Finally, a numerical example is provided to demonstrate the effectiveness and superiority of the proposed method through a detailed comparison with existing methods.

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“…To handle such phenomena, complex generalizations of FSs mentioned above have been studied by Ramot et al (2002Ramot et al ( , 2003, Alkouri and Salleh (2013), Ullah et al (2020), Akram et al (2021c) and these sets have been applied to many decision-making problems. Azam et al (2022) gave an example of evaluating the enterprise's information security management issue in a particular organization on complex intuitionistic fuzzy sets (CIFSs). Akram et al (2020) made an example of selecting the best capable ERP systems as candidates after collecting information about ERP vendors and systems from all aspects of the complex picture fuzzy set (CPFS) environment.…”

Section: Introductionmentioning

confidence: 99%

A Novel Entropy Measure with its Application to the COPRAS Method in Complex Spherical Fuzzy Environment

Aydoğdu,

Aldemir,

Güner

et al. 2023

Informatica

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A complex spherical fuzzy set (CSFS) is a generalization of the spherical fuzzy set (SFS) to express the two-dimensional ambiguous information in which the range of positive, neutral and negative degrees occurs in the complex plane with the unit disk. Considering the vital importance of the concept of CSFSs which is gaining massive attention in the research area of two-dimensional uncertain information, we aim to establish a novel methodology for multi-criteria group decision-making (MCGDM). This methodology allows us to calculate both the weights of the decision-makers (DMs) and the weights of the criteria objectively. For this goal, we first introduce a new entropy measure function that measures the fuzziness degree associated with a CSFS to compute the unknown criteria weights in this methodology. Then, we present an innovative Complex Proportional Assessment (COPRAS) method based on the proposed entropy measure in the complex spherical fuzzy environment. Besides, we solve a strategic supplier selection problem which is very important to maximize the efficiency of the trading companies. Finally, we present some comparative analyses with some existing methods in different set theories, including the entropy measures, to show the feasibility and usefulness of the proposed method in the decision-making process.

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A Decision‐Making Approach for the Evaluation of Information Security Management under Complex Intuitionistic Fuzzy Set Environment

Cited by 24 publications

References 36 publications

Analysis on the Hesitation and its Application to Decision Making

Analysis on the Hesitation and its Application to Decision Making

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

A Novel Entropy Measure with its Application to the COPRAS Method in Complex Spherical Fuzzy Environment

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