A Hybrid Decision-Making Approach Under Complex Pythagorean Fuzzy N-Soft Sets

Authors

Muhammad Akram^{1, *,} , Faiza Wasim¹, Ahmad N. Al-Kenani^2,

¹Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

²Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

^*Corresponding author. Email: m.akram@pucit.edu.pk

DOI

10.2991/ijcis.d.210331.002How to use a DOI?

Keywords

Complex Pythagorean fuzzy N-soft set; Einstein operations; MCDM; D-choice values of Pythagorean fuzzy N-soft set

Abstract

The main objectives of this article include the formal statement of a new mathematical model of uncertain knowledge and the presentation of its potential applications. The novel hybrid model is called complex Pythagorean fuzzy N-soft set (CPFNSS) because it enjoys both the parametric structure of N-soft sets and the most prominent features of complex Pythagorean fuzzy sets in order to capture the nuances of two-dimensional inexact information. We demonstrate that this model serves as a competent tool for ranking-based modeling of parameterized fuzzy data. We propose some basic set-theoretical operations on CPFNSSs and explore some of their practical properties. Furthermore, we elaborate the Einstein and algebraic operations on complex Pythagorean fuzzy N-soft values (CPFNSVs). We interpret its relationships with contemporary theories to vindicate the versatility of the proposed model. Moreover, we develop three algorithms to unfold the application of proposed theory in multi-criteria decision-making (MCDM). Some illustrative applications give a practical justification for these strategies. Finally, we conduct a comparative analysis of the performance of these algorithms with existing MCDM techniques, namely, choice values and D-choice values of Pythagorean fuzzy N-soft set (PFNSS), which validates the effectiveness of the proposed techniques.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Muhammad Akram
AU  - Faiza Wasim
AU  - Ahmad N. Al-Kenani
PY  - 2021
DA  - 2021/04/12
TI  - A Hybrid Decision-Making Approach Under Complex Pythagorean Fuzzy N-Soft Sets
JO  - International Journal of Computational Intelligence Systems
SP  - 1263
EP  - 1291
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.210331.002
DO  - 10.2991/ijcis.d.210331.002
ID  - Akram2021
ER  -