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IFP-intuitionistic multi fuzzy N-soft set and its induced IFP-hesitant N-soft set in decision-making

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Abstract

Intuitionistic fuzzy sets (IFSs) can effectively represent and simulate the uncertainty and diversity of judgment information offered by decision-makers (DMs). In comparison to fuzzy sets (FSs), IFSs are highly beneficial for expressing vagueness and uncertainty more accurately. As a result, in this paper, we offer an approach for solving group decision-making problems (DMPs) with intuitionistic fuzzy parameterized (IFP) intuitionistic multi fuzzy N-soft set of dimension q (briefly, IFPIMFNSS) by introducing its induced IFP-hesitant N-soft set (IFPHNSS) as an extension of the multi-fuzzy N-soft set (MFNSS) based decision-making method (DMM). MFNSS is a fantastic and useful tool to deal with DMPs, but it has some limitations to solve group DMPs, but the constructed method in this paper is very advantageous for group-DMPs. To demonstrate the applicability of our methodology in practical situations, some examples are used, and also, we have compared the ranking performances of the proposed method with the Fatimah-Alcantud method. Finally, we bring the paper to a conclusion and our future work.

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Abbreviations

DM:

Decision-maker

DMM:

Decision-making method

DMP:

Decision-making problem

IFPIMFNSS :

IFP-intuitionistic multi fuzzy N-soft set of dimension q

FSS:

Fuzzy soft set

FST:

Fuzzy set theory

HFS:

Hesitant fuzzy set

HNSS:

Hesitant N soft set

HNT:

Hesitant N tuples

IFPHNSS :

IFP-hesitant N-soft set of dimension q

IFS:

Intuitionistic fuzzy set

IFSS:

Intuitionistic fuzzy soft set

IVFS:

Interval-valued fuzzy set

IVFSS:

Interval-valued fuzzy soft set

IMFS:

Intuitionistic multi fuzzy set

MFNSS:

Multi-fuzzy N-soft set

NSS:

N-soft set

SST:

Soft set theory

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Acknowledgements

The authors would like to express their gratitude to the editors and anonymous referees for their informative, helpful remarks and suggestions to improve this paper as well as the important guiding significance to our researches.

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Authors and Affiliations

  1. Department of Mathematics, Bir Bikram Memorial College, Agartala, 799004, India

    Ajoy Kanti Das

  2. Estudiante de Doctorado en Matemáticas, Magister en Ciencias Matemáticas, Universidad de Antioquia, Medellín, Colombia

    Carlos Granados

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  1. Ajoy Kanti Das
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Das, A.K., Granados, C. IFP-intuitionistic multi fuzzy N-soft set and its induced IFP-hesitant N-soft set in decision-making. J Ambient Intell Human Comput 14, 10143–10152 (2023). https://doi.org/10.1007/s12652-021-03677-w

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