Complex Vague Graphs and Their Application in Decision-Making Problems

Zeng, Shouzhen; Shoaib, Muhammad; Ali, Shahbaz; Abbas, Qamar; Nadeem, Muhammad Shahzad

doi:10.1109/access.2020.3025974

Cited by 11 publications

(5 citation statements)

References 25 publications

(14 reference statements)

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“…Peng et al [10] proposed some new approaches to manage single-regarded neutrosophic MADM reliant on MABAC, TOPSIS, and new closeness measure with score function. In [11][12][13][14][15][16][17][18][19][20][21], many decision-making problems and algebraic structures are discussed over different fuzzy environments.…”

Section: Introductionmentioning

confidence: 99%

Decision-Making Problems under the Environment of m-Polar Diophantine Neutrosophic N-Soft Set

Zeng¹,

Ali²,

Mahmood³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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Fuzzy models are present everywhere from natural to artificial structures, embodying the dynamic processes in physical, biological, and social systems. As real-life problems are often uncertain on account of inconsistent and indeterminate information, it seems very demanding for an expert to solve those problems using a fuzzy model. In this regard, we develop a hybrid new model m-polar Diophantine neutrosophic N-soft set which is based on neutrosophic set and soft set. Additionally, we define several different sorts of compliments on the proposed set. A proposed set is a generalized form of fuzzy, soft, Pythagorean fuzzy, Pythagorean fuzzy soft, and Pythagorean fuzzy N-soft sets. In this manner, m-polar Diophantine neutrosophic N-soft set is more proficient, a versatile model to oversee vulnerabilities as it likewise survives the downsides of existing models which are to be summed up. Furthermore, we give the application of the proposed set in multi-attribute decision-making problems by defining a new choice-value function.

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Section: Introductionmentioning

confidence: 99%

Decision-Making Problems under the Environment of m-Polar Diophantine Neutrosophic N-Soft Set

Zeng¹,

Ali²,

Mahmood³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

Self Cite

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“…However, this method ignores the influence of the scheme on subsequent recovery. References [20,21] introduce the vague set theory. By introducing the vague set theory, it is possible to combine the qualitative and quantitative indicators to describe the correlation between the indicators, deal with the fuzzy information in the black-start scheme, and obtain better evaluation results.…”

Section: Introductionmentioning

confidence: 99%

“…ird, the lack of psychological perceived value of decision-makers in the evaluation scheme makes the evaluation results deviate from the actual [18][19][20][21][22]. To better highlight the differences between the model in this study and existing references and to enable readers to understand the contents of relevant references, some existing literature related to this study are selected for comparison, as listed in Table 1.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Black-Start Schemes Based on the Evaluation Indicator System

Xiang

Ling

et al. 2022

International Transactions on Electrical Energy Systems

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The black-start scheme is of great significance for the rapid recovery of the power system after a blackout. Most of the existing black-start scheme evaluations are studied from the perspective of improving the weight of evaluation indicators and evaluation methods, ignoring differences in the importance of evaluation indicators at different stages of recovery. Therefore, this study proposes a black-start scheme evaluation model based on the evaluation indicator system. First, starting from the elements of the black-start scheme, 14 evaluation indicators for the black-start scheme are proposed, concerning the characteristics of the grid nodes and the different stages of system recovery. Based on the analytic hierarchy process, the evaluation indicators are linked to the evaluation criteria of the system recovery stage to construct an evaluation indicator system for the black-start scheme. Second, the weight of the evaluation indicator is calculated by combining the analytic hierarchy process and the entropy weight method to obtain the result of the subjective and objective combination. Third, this study proposes an evaluation method integrating prospect theory and the multicriteria compromise solution ranking method, by combining the psychological perceived value of decision-makers with the characteristics of black-start schemes, to evaluate and rank black-start schemes. Finally, the rationality and accuracy of the evaluation model proposed in this study are verified by an example of the black-start scheme of Gansu power grid, which could provide a new idea for decision-makers to choose an appropriate black-start scheme.

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“…Many scholars discussed product operations on various generalized FGs. Mordeson and Peng [16] defined some of these product operations on FGs and some new fuzzy models are discussed in [33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Certain Properties of Single-Valued Neutrosophic Graph With Application in Food and Agriculture Organization

Zeng¹,

Shoaib²,

Ali³

et al. 2021

IJCIS

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Fuzzy graph models are present everywhere from natural to artificial structures, embodying the dynamic processes in physical, biological, and social systems. As real-life problems are often uncertain on account of inconsistent and indeterminate information, it seems very demanding for an expert to model those problems using a fuzzy graph. To deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problems, a neutrosophic graph can be applied, where fuzzy graphs may not bear any fruitful results. The past definitions limitations in fuzzy graphs have directed us to present new definitions in single-valued neutrosophic graph (SVNG). A SVNG has several applications in the fields of physics, bio and connectivity of socialism. It has been an advantageous scope in the recent times for providing such information which is incomplete or uncertain accounting in real problems that gives the direction to describe the relationship between nodes. Operations are conveniently used in many combinatorial applications. In various situations, they present a suitable construction means; therefore, the current study, seeks to present and explore the key features of new operations, including: rejection, maximal product, symmetric difference, and residue product of SVNG. We have discuss the concept of maximal product on two strong-(SVNGS) and maximal product of connected-SVNG with examples. This research article presents the notions of degree of a vertex and total degree of a vertex in SVNG. Moreover, this study summarizes the specific conditions needed for obtaining vertices degrees in SVNG under the operations of maximal product, symmetric difference, residue product, and rejection. In addition, an application was illustrated in the food and agriculture organization with an algorithm to emphasize the contributions of this research article in practical applications.

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Complex Vague Graphs and Their Application in Decision-Making Problems

Cited by 11 publications

References 25 publications

Decision-Making Problems under the Environment of m-Polar Diophantine Neutrosophic N-Soft Set

Decision-Making Problems under the Environment of m-Polar Diophantine Neutrosophic N-Soft Set

Evaluation of Black-Start Schemes Based on the Evaluation Indicator System

Certain Properties of Single-Valued Neutrosophic Graph With Application in Food and Agriculture Organization

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