Next Article in Journal
On New Extensions of Darbo’s Fixed Point Theorem with Applications
Next Article in Special Issue
Topological Symmetry Groups of the Heawood Graph
Previous Article in Journal
Chebyshev-Type Integral Inequalities for Continuous Fields of Operators Concerning Khatri–Rao Products and Synchronous Properties
Previous Article in Special Issue
Some Results on Various Cancellative CA-Groupoids and Variant CA-Groupoids
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Pythagorean Fuzzy Matroids with Application

1
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2
Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(3), 423; https://doi.org/10.3390/sym12030423
Submission received: 13 January 2020 / Revised: 28 February 2020 / Accepted: 2 March 2020 / Published: 5 March 2020
(This article belongs to the Special Issue Discrete Mathematics and Symmetry)

Abstract

The Pythagorean fuzzy models deal with graphical and algebraic structures in case of vague information related to membership and non-membership grades. Here, we use Pythagorean fuzzy sets to generalize the concept of vector spaces and discuss their basis and dimensions. We also highlight the concept of Pythagorean fuzzy matroids and examine some of their fundamental characteristics like circuits, basis, dimensions, and rank functions. Additionally, we explore the concept of Pythagorean fuzzy matroids in linear algebra, graph theory, and combinatorics. Finally, we demonstrate the use of Pythagorean fuzzy matroids for minimizing the time taken by a salesman in delivering given products.
Keywords: pythagorean fuzzy vector space; pythagorean fuzzy matroid; pythagorean fuzzy bases; pythagorean fuzzy rank function; pythagorean fuzzy cycle matroid pythagorean fuzzy vector space; pythagorean fuzzy matroid; pythagorean fuzzy bases; pythagorean fuzzy rank function; pythagorean fuzzy cycle matroid

Share and Cite

MDPI and ACS Style

Asif, M.; Akram, M.; Ali, G. Pythagorean Fuzzy Matroids with Application. Symmetry 2020, 12, 423. https://doi.org/10.3390/sym12030423

AMA Style

Asif M, Akram M, Ali G. Pythagorean Fuzzy Matroids with Application. Symmetry. 2020; 12(3):423. https://doi.org/10.3390/sym12030423

Chicago/Turabian Style

Asif, Muhammad, Muhammad Akram, and Ghous Ali. 2020. "Pythagorean Fuzzy Matroids with Application" Symmetry 12, no. 3: 423. https://doi.org/10.3390/sym12030423

APA Style

Asif, M., Akram, M., & Ali, G. (2020). Pythagorean Fuzzy Matroids with Application. Symmetry, 12(3), 423. https://doi.org/10.3390/sym12030423

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop