scholarly journals q -Rung Orthopair Fuzzy Matroids with Application to Human Trafficking

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Muhammad Asif ◽  
Doha A. Kattan ◽  
Dragan Pamučar ◽  
Ghous Ali
Keyword(s):  
Comparative Study ◽  
Fuzzy Sets ◽  
Human Trafficking ◽  
Vector Spaces ◽  
Fuzzy Graph ◽  
Government Response ◽  
Linearly Independent ◽  
Vague Data ◽  
Human Flow ◽  
Fuzzy Vector

The theory of q -rung orthopair fuzzy sets ( q -ROFSs) is emerging for the provision of more comprehensive and useful information in comparison to their counterparts like intuitionistic and Pythagorean fuzzy sets, especially when responding to the models of vague data with membership and non-membership grades of elements. In this study, a significant generalized model q -ROFS is used to introduce the concept of q -rung orthopair fuzzy vector spaces ( q -ROFVSs) and illustrated by an example. We further elaborate the q -rung orthopair fuzzy linearly independent vectors. The study also involves the results regarding q -rung orthopair fuzzy basis and dimensions of q -ROFVSs. The main focus of this study is to define the concepts of q -rung orthopair fuzzy matroids ( q -ROFMs) and apply them to explore the characteristics of their basis, dimensions, and rank function. Ultimately, to show the significance of our proposed work, we combine these ideas and offer an application. We provide an algorithm to solve the numerical problems related to human flow between particular regions to ensure the increased government response action against frequently used path (heavy path) for the countries involved via directed q -rung orthopair fuzzy graph ( q -ROFG). At last, a comparative study of the proposed work with the existing theory of Pythagorean fuzzy matroids is also presented.

WEIGHTED GRIDS IN COMPLEX JORDAN* TRIPLES

2010 ◽  
Vol 03 (01) ◽  
pp. 155-184
Author(s):  
L. L. STACHÓ
Keyword(s):  
Independent Sets ◽  
Vector Spaces ◽  
Complete List ◽  
Real Vector ◽  
Linearly Independent

Weighted grids are linearly independent sets {gw : w ∈ W} of signed tripotents in Jordan* triples indexed by figures W in real vector spaces such that {gugvgw} ∈ ℂgu-v+w (= 0 if u - v + w ∉ W). They arise naturally as systems of weight vectors of certain abelian families of Jordan* derivations. Based on Neher's grid theory, a classification of association free non-nil weighted grids is given. As a first step beyond the setting of classical grids, the complete list of complex weighted grids of pairwise associated signed tripotents indexed by ℤ2 is established.

scholarly journals Isomorphisms on countable vector spaces with recursive operations

1974 ◽  
Vol 18 (2) ◽  
pp. 230-235 ◽  
Author(s):  
Robert I. Soare
Keyword(s):  
Vector Space ◽  
Independent Set ◽  
Vector Spaces ◽  
Recursive Structure ◽  
Recursively Enumerable ◽  
Linearly Independent ◽  
Vector Addition

Terminology and notation may be found in Dekker [1] and [2]. Briefly, we fix a recursively enumerable (r.e.) field F with recursive structure, and let Ū be the vector space over F consisting of ultimately vanishing countable sequences of elements of F with the usual definitions of vector addition and multiplication by a scalar. A subspace V of Ū is called an α-space if V has a basis B which is contained in some r.e. linearly independent set S.

Vulnerability and Government Response to Human Trafficking: Vague Fuzzy Incidence Graphs

2018 ◽  
Vol 14 (02) ◽  
pp. 203-219 ◽  
Author(s):  
John N. Mordeson ◽  
Sunil Mathew ◽  
R. A. Borzooei
Keyword(s):  
United States ◽  
Human Trafficking ◽  
Illegal Immigration ◽  
The United States ◽  
Incidence Graph ◽  
Commonwealth Of Independent States ◽  
Government Response ◽  
Independent States

We introduce the notion of a vague incidence graph and its eccentricity. We apply the results to problems involving human trafficking and illegal immigration. We are particularly interested in the roll played by countries’ vulnerability and their government’s response to human trafficking. We show of the leading illegal immigration routes through Mexico to the United States that Somalia has the highest eccentricity. We also provide measures on how much a region needs to reduce flow or increase government response to be modelled by a fuzzy incidence graph. It turns out that the Commonwealth of Independent States has the largest measure for both vulnerability and government response than any other region.

Bases of fuzzy vector spaces

1993 ◽  
Vol 67 (1-2) ◽  
pp. 87-92 ◽  
Author(s):  
John N. Mordeson
Keyword(s):  
Vector Spaces ◽  
Fuzzy Vector

Fuzzy Indices with Applications to Human Trafficking

2019 ◽  
Vol 15 (03) ◽  
pp. 411-425
Author(s):  
John N. Mordeson ◽  
Aimee Schwab-McCoy ◽  
Sunil Mathew ◽  
M. Binu
Keyword(s):  
United States ◽  
Human Trafficking ◽  
Correlation Coefficient ◽  
Negative Correlation ◽  
Pearson Correlation ◽  
The United States ◽  
Pearson Correlation Coefficient ◽  
Government Response

We develop indices that can be used to measure the susceptibility of a route to human trafficking. The susceptibility is based on data providing a measure of a country’s vulnerability for and its government response to human trafficking. The data was normalized and the Pearson correlation coefficient was used to determine the correlation between five types of government response and five types of vulnerability. It was determined that comparing government response values with vulnerability values yielded a negative correlation. Four routes through the Americas to the United States were examined. The indices of two of the measures agree on all four routes.

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