q-Rung orthopair fuzzy graphs under Hamacher operators

Akram, Muhammad; Alsulami, Samirah; Karaaslan, Faruk; Khan, Ayesha

doi:10.3233/jifs-201700

Cited by 19 publications

(8 citation statements)

References 33 publications

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“…As the structure of Hamacher aggregation operators is powerful and massive suitable tool to cope with awkward and complicated information in realistic issues, so keeping in view the importance of Hamacher aggregation operators in the field of fuzzy logic and in the field of decision sciences many scholars have employed the theory of Hamacher aggregation operators in the environment of different fields [40][41][42][43]. In this manuscript the notion of Hamacher aggregation is applied in the environment of linear Diophantine uncertain linguistic sets and is applied in decision making problems.…”

Section: Discussionmentioning

confidence: 99%

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Generalized Hamacher Aggregation Operators Based on Linear Diophantine Uncertain Linguistic Setting and Their Applications in Decision-Making Problems

et al. 2021

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Hamacher aggregation operators are more flexible and more dominant to determine the interrelationships between any number of attributes. The goal of this manuscript is to elaborate on the principle of linear Diophantine uncertain linguistic sets and explored their useful Hamacher operational laws. Moreover, by using the investigated linear Diophantine uncertain linguistic information and Hamacher aggregation operators, we explored the linear Diophantine uncertain linguistic generalized Hamacher averaging operator and linear Diophantine uncertain linguistic generalized Hamacher hybrid averaging operator. Additionally, a multi-attribute decision-making (MADM) procedure is buildup based on the investigated operators under the linear Diophantine uncertain linguistic information. Certain numerical examples are illustrated by using initiated operators to determine the dominance and flexibility of explored operators. To find the consistency and supremacy of the presented operators, we compare the proposed work with certain prevailing operators and discussed their geometrical expressions to show that the introduced operators in this manuscript are extensively powerful and more useful than the prevailing drawbacks.INDEX TERMS Generalized Hamacher aggregation operators; Linear Diophantine uncertain linguistic sets; Multi-attribute decision-making problems.

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Section: Discussionmentioning

confidence: 99%

“…In the future, the principle of Hamacher aggregation operators for complex IFS [40], q-rung orthopair fuzzy graph [41], complex picture fuzzy sets [42], and m-polar fuzzy sets [43] to extend for the presented works.…”

Section: Aggregation Operators Based On Intuitionisticmentioning

confidence: 99%

Generalized Hamacher Aggregation Operators Based on Linear Diophantine Uncertain Linguistic Setting and Their Applications in Decision-Making Problems

et al. 2021

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“…For

q - ROPFSs

, a novel method of ranking based on graph theory was given by Khan, Ali and Kumam (2021). Akram, Alsulami, et al (2021) suggested the

q - ROPF

Hamacher graphs along with their energy. A

q - ROPF

coefficient of correlation giving only the level of correlation was proposed by Du, 2019.…”

Section: Introductionmentioning

confidence: 99%

Some novel q‐rung orthopair fuzzy similarity measures and entropy measures with their applications

Ganie¹,

Singh

2023

Expert Systems

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In this paper, we have introduced some new similarity measures for q-rung orthopair fuzzy sets and discussed their various features. These similarity measures have been constructed with the help of t-conorms. The suggested similarity measures are more effective than the available ones in computing the similarity between distinct q-rung orthopair fuzzy sets. With the help of these suggested similarity measures, we have also developed some novel entropy measures for q-rung orthopair fuzzy sets. The newly proposed entropy measures are more effective than the existing ones in handling linguistic hedges. The applicability of the suggested similarity measures has been demonstrated in pattern analysis and the findings have been found to be better than due to existing ones. The traditional decision-making method namely, the technique for order preference by similarity to the ideal solution gives us a compromise solution that is either closest to the positive ideal solution and farthest from the negative ideal solution but not both. So, to overcome this major drawback, we suggest a novel multi-attribute decisionmaking method in the q-rung orthopair fuzzy environment and apply it to a decisionmaking problem.

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“…After that, bipolar fuzzy Hamacher arithmetic and geometric operators were also developed by Wei et al [23]. Akram et al [24] developed q-rung orthopair fuzzy graphs under Hamacher operators.…”

Section: Introductionmentioning

confidence: 99%

Decision Analysis Approach Based on 2‐Tuple Linguistic m‐Polar Fuzzy Hamacher Aggregation Operators

Akram

Noreen

Al-Shamiri

2022

Discrete Dynamics in Nature and Society

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This research article is devoted to presenting the concept of 2-tuple linguistic m -polar fuzzy sets (2 TL m FSs) and introducing some fundamental operations on them. With 2 TL m FSs, we shall be able to capture imprecise information with high generality. With the appropriate operators, we shall be able to apply 2 TL m FSs in decision-making efficiently. The aggregation operators that we propose are the 2 TL m F Hamacher weighted average (2 TL m FHWA) operator, 2 TL m F Hamacher ordered weighted average (2 TL m FHOWA) operator, 2 TL m Hamacher hybrid average (2 TL m FHHA) operator, 2 TL m F Hamacher weighted geometric (2 TL m HWG) operator, 2 TL m Hamacher ordered weighted geometric (2 TL m HOWG) operator, and 2 TL m F Hamacher hybrid geometric (2 TL m FHHG) operator. We investigate their properties, including the standard cases of monotonicity, boundedness, and idempotency. Then we develop an algorithm to solve multicriteria decision-making problems formulated with 2 TL m F information. The 2 TL m F data in multiattribute decision-making are merged with the help of aggregation operators, and we consider the particular instances of the 2 TL m FHA and 2 TL m FHG operators. The influence of the parameters on the outputs is explored with a numerical simulation. Moreover, a comparative study with existing methods was performed in order to show the applicability of the proposed model and motivate the discussion about its virtues and advantages. The results confirm that the model here developed is reliable for decision-making purposes.

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q-Rung orthopair fuzzy graphs under Hamacher operators

Cited by 19 publications

References 33 publications

Generalized Hamacher Aggregation Operators Based on Linear Diophantine Uncertain Linguistic Setting and Their Applications in Decision-Making Problems

Generalized Hamacher Aggregation Operators Based on Linear Diophantine Uncertain Linguistic Setting and Their Applications in Decision-Making Problems

Some novel q‐rung orthopair fuzzy similarity measures and entropy measures with their applications

Decision Analysis Approach Based on 2‐Tuple Linguistic m‐Polar Fuzzy Hamacher Aggregation Operators

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