Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems

MuhammadAzam

Full Length Article

•

Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems

MuhammadAzam ^*

mail

* Corresponding Author.

DOI

format_quote Cite this article

View PDF open_in_new

Abstract

Fuzzy set theory plays a key role in decision making. The philosophical concepts of neutrosophic set theory were studied by many researchers around the globe. Interval valued and single valued interval valued neutrosophic set is a best way to handle fuzzy data more accurately and precisely. Beside this neutrosophic cubic Numbers are quite enough for cracking and patching of large data in fuzzy decision-making environment. Under the neutrosophic cubic sets (NCFS) with Bonferroni mean (BM) the present paper developed some new novel aggregation like (NCFABM x,y) and (WNCFABM x,y) with its admirable features. Further we highlighted the remarkable grip of these operators with different parameter values towards MCDM. In last a real-life example based on proposed measure under neutrosophic cubic fuzzy sets (NCFS) environment has been included in term of counter intuitive cases for showing the validity and reliability.

Keywords

Neutrosophic Cubic Fuzzy Sets Bonferroni Mean aggregation Operator MCDM

References

1. Zadeh, L.A. Fuzzy sets. Inf. Control. 1965, 18, 338-353.

2. F. Smarandache, A unifying field in logics. neutrosophy: Neutrosophic probability, set and logic, American Research Press,Rehoboth, 1999.

3. Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R. Single valued neutrosophic sets. Multispace Multistruct. 2010, 4, 410-413.

4. Ajay,D.,Manivel,M.,Aldring,J.(2019).Neutrosophic Fuzzy SAW Methods and Its Application.The international journal of analytical and experimental modal analysis,Vol XI,Issue VIII,881-887.

5. Jun,Y.B.,Kim,C.S.,Yang,K.O.(2012).Cubic sets.Annals of Fuzzy Mathematics and Information,4,83-98.

6. Zhan,J.,Khan,Glistan,M.,Ali,A.(2017).Application of neutrosophic cubic set in multi-criteria decision-making.International Journal for Uncertainity Quantication, 7,377-394.

7. Jun,Y.B.,Smarandache,F.,Kim,C.S(2017).Neutrosophic Cubic Sets.New Mathematics Computation, 13,41-54.

8. Gulistan,M.,Khan,M.,Kadry,S.,Alhazaymeh,K.(2019).Neutrosophic Cubic Einstien Hybrid Geometric Aggregation Operators with Application in Prioritization Using Multiple Attribute Decision-Making Method.Mathematics.https://doi.org/10.3390/math7040346.

9. Gulistan,M.,Mohammad,M.,Karaaslan,F.,Kadry,S.,Khan,S.,Wahab,H.A.(2019).

Neutrosophic Cubic Heronain Mean Operators with applications in multi attributes group decision making using cosine similarity function.Internation Journal of Distributed Sensor Networks.https://doi.org/10.1177/1550147719877613.

10. Ajay,D.,Broumi Said,Aldring,J.,An MCDM Method Under Neutrosophic Cubic Fuzzy Set With Geometric Bonferroni Mean Operator.Neutrosophic Set and System,Vol.32,2020.

Cite This Article

Choose your preferred format

format_quote

, MuhammadAzam. "Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems." International Journal of Neutrosophic Science, vol. , no. , , pp. . DOI:

, M. (). Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems. International Journal of Neutrosophic Science, (), . DOI:

, MuhammadAzam. "Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems." International Journal of Neutrosophic Science , no. (): . DOI:

, M. () 'Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems', International Journal of Neutrosophic Science, (), pp. . DOI:

M. Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems. International Journal of Neutrosophic Science. ;():. DOI:

M. , "Neutrosophic Cubic Fuzzy Bonferroni Arithematic Mean Operator and its Application in Group Decision Making Problems," International Journal of Neutrosophic Science, vol. , no. , pp. , . DOI:

Digital Archive Ready