On m-polar Diophantine Fuzzy N-soft Set with Applications

Liu, Jia‐Bao; Ali, Shahbaz; Mahmood, Muhammad Khalid; Mateen, M. Haris

doi:10.2174/1386207323666201230092354

Cited by 6 publications

(4 citation statements)

References 35 publications

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“…Most of these methods rely on fuzzy soft sets that have been changed [9]. Many fields (for example, computer sciences, physical sciences, social sciences, and medical sciences) work with ambiguous material that necessitates the use of fuzzy sets [10,11].…”

Section: Introductionmentioning

confidence: 99%

Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

Jin

Kamran

Salamat

et al. 2022

Journal of Function Spaces

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Single-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduced two new distance measures named d η G , Y and d ζ G , Y for SVNFSs and apply these measures to different examples and also compare them with existing measures to show the validity of our proposed measures. Our results are reliable and useful for decision-making problems. We also proposed an algorithm for multicriteria group decision-making. Based on this algorithm, we find the ranking matrices using proposed distance measures. We also give an example to demonstrate the notion and concept of our algorithm.

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Section: Introductionmentioning

confidence: 99%

Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

Jin

Kamran

Salamat

et al. 2022

Journal of Function Spaces

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“…Ramprasad et al [21] defined the notion of m-polar h-morphism of m-polar fuzzy graphs. For more concepts related to this work, we refer readers to [22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A Novel Study of Graphs Based on $m$ -Polar Cubic Structures

Muhiuddin

Alanazi

Mahboob³

et al. 2022

Journal of Function Spaces

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By combining the notions of interval-valued m-polar fuzzy graphs and m-polar fuzzy graphs, the notion of m-polar cubic graphs is first introduced. Then, the degree of a vertex in m-polar cubic graphs and complete m-polar cubic graphs is defined. After that, the concepts of direct product and strong product of m-polar cubic graphs are given. Moreover, weak isomorphism and co-weak isomorphism are defined, and examples are given to prove that weak isomorphism and co-weak isomorphism are not an isomorphism. Finally, the notion of complement m-polar cubic graphs and weak complement m-polar cubic graphs is presented.

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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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On m-polar Diophantine Fuzzy N-soft Set with Applications

Cited by 6 publications

References 35 publications

Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

A Novel Study of Graphs Based on $m$ -Polar Cubic Structures

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

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On m-polar Diophantine Fuzzy N-soft Set with Applications

Cited by 6 publications

References 35 publications

Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

A Novel Study of Graphs Based on m -Polar Cubic Structures

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

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A Novel Study of Graphs Based on $m$ -Polar Cubic Structures