2018
DOI: 10.1186/s13663-018-0632-5
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Fixed points of fuzzy neutrosophic soft mapping with decision-making

Abstract: In this paper, we introduce some operations on a fuzzy neutrosophic soft set (fns-set) by utilizing the theories of fuzzy sets, soft sets and neutrosophic sets. We introduce fns-mappings by using a cartesian product with relations on fns-sets and establish some results on fixed points of an fns-mapping. We present an algorithm to deal with uncertainties in the multi-criteria decision making to slenderize energy crises by using an fns-average operator and a comparison table for fns-sets.

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Cited by 12 publications
(4 citation statements)
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References 22 publications
(25 reference statements)
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“…We have presented several examples to accredit its suitability, and proved a fixed point theorem which has allowed us to obtain a characterization of fuzzy metric completeness that provides a fuzzy counterpart of a celebrated characterization of metric completeness due to Suzuki and Takahashi. For further work related to the extension and possible applications of the obtained results, the articles [26][27][28], suggested by one of the reviewers, could be of interest Funding: This work has received no external funding.…”
Section: Discussionmentioning
confidence: 99%
“…We have presented several examples to accredit its suitability, and proved a fixed point theorem which has allowed us to obtain a characterization of fuzzy metric completeness that provides a fuzzy counterpart of a celebrated characterization of metric completeness due to Suzuki and Takahashi. For further work related to the extension and possible applications of the obtained results, the articles [26][27][28], suggested by one of the reviewers, could be of interest Funding: This work has received no external funding.…”
Section: Discussionmentioning
confidence: 99%
“…FLC based IFNs are used to make washing machines more automatic as compared to FLC results, which increases consumer satisfaction. This problem can also be observed in terms of MCDM and applications that are not mentioned in the paper, the readers can refer to [12,13,14,15,16,17,18].…”
Section: Introductionmentioning
confidence: 93%
“…Riaz et al [16][17][18] established some results of soft algebra, soft metric spaces, and measurable soft mappings. Riaz and Masooma [19][20][21][22][23] introduced fuzzy parameterized fuzzy soft set (fpfs-set), fpfs-topology, and fpfs-compact spaces, with some important applications of fpfs-set to decision-making problems. They presented fns-mappings and fixed points of fns-mapping.…”
Section: Introductionmentioning
confidence: 99%