Fuzzy Matrix Theory Research Articles

Fuzzy Matrix Theory based Decision Making for Machine Learning

Fuzzy Matrix Theory based Decision Making for Machine Learning by Javaid Ahmad Shah * Department of Mathematics, Dr. A. P. J. Abdul Kalam University Indore (M.P) India * Author to whom correspondence should be addressed. Journal of Engineering Research and Sciences, Volume 1, Issue 6, Page # 13-20, 2022; DOI: 10.55708/js0106003 Keywords: Decision Making, Fuzzy

Strength and shrinkage properties of cement stabilized macadam bases incorporating 0–2.36 millimetre recycled fine aggregate

Recycled aggregates can effectively replace natural aggregates in the cement stabilized layer of pavement, but the impact of 0–2.36 millimetre recycled fine aggregates (RFA) on the performance of cement stabilized macadam (CSM) is unclear. This paper was aimed at evaluating the impact of 0–2.36 mm RFA on mechanical properties and shrinkage performance of CSM incorporating 0–2.36 mm RFA (CSM-2.36RFA). The unconfined compressive strength (UCS), indirect tensile strength (ITS), drying shrinkage and temperature shrinkage were tested. Test results showed that the impact of 0–2.36 mm RFA on mechanical properties of CSM-2.36RFA were closely related to cement content. When the cement content was 4%, the UCS and ITS decreased with increasing 0–2.36 mm RFA content. However, the UCS and ITS increased first and then decreased with the increase of 0–2.36 mm RFA content containing 5% or 6% cement. The drying shrinkage performance of CSM-2.36RFA was deteriorated with increasing 0–2.36 mm RFA content. The cement content is the most important negative factor affecting the temperature shrinkage performance of CSM-2.36RFA, while the 0–2.36 mm RFA content has a little effect on the temperature shrinkage performance. Fuzzy matrix theory was used to evaluate various mix proportions, 6% cement and 30% 0–2.36 mm RFA had the best mechanical properties and shrinkage performances for CSM-2.36RFA.

A Study On Finding The Most Prevalent Age Groups Of Diabetic Retinopathy Among Diabetic Population Using Fuzzy Matrix Theory

In this paper, authors identified the age group of Diabetic population which is affected by Diabetic Retinopathy (DR) using Fuzzy Matrix Theory. It has been shown that there is no significant difference between the men and women age group among Diabetic population developing DR.

Algebraic Structures of m-polar Fuzzy Matrices

Problems from real life situations related to multiple agents n  5 and Big data are efficiently solved by Computational Mathematics using N-Dimensional Polar information. This information cannot be well-represented by means of fuzzy matrices or bipolar fuzzy matrices. Therefore, mpolar fuzzy matrix theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these matrices. we proved the properties of m-polar fuzzy matrices by exploiting the binary operations ring sum (  ) and ring subtraction ( ). In addition to this we also extended various operations such as reflexive, irreflexive, maximum and minimum for the idea of m-polar fuzzy matrices.

Existence of Monopoly Power in Dietary Market and the Question of Market Failure: A Measurement Using Fuzzy Matrix Theory

In economics, market failure is a situation in which the allocation of goods and services is not efficient. Monopoly power and asymmetric information are amongst the major causes of market failure. We plan to identify if there is a market failure in the dietary market. The present study plans to understand how the dietary market works in the city of Pune. After doing some field survey, we have identified that, even though demand for good food is present, but there is a supply-side problem. The market failure is due to asymmetric information about the supply side. Here we have confined ourselves to revealed preference theory. By revealed preference theory we mean ex-ante preferences of the respondents (students). Here we consider fuzzy preference, not crisp preference. We describe a simple fuzzy matrix model when we have a raw data in hand to identify the factors affecting market failure in the dietary market in Pune; also, measurement of the existence of monopoly power from the behavioural point of view.

Fuzzy Matrix Theory in Recognizing the Qualities of Teacher

Fuzzy Matrix Theory in Recognizing the Qualities of Teacher

Fuzzy Matrix Theory and Infertility Management – Measures Follicle Fertilization Possibility

In this paper, we are exploring fuzzy logic in medical diagnosis of infertility where our aim is to predict the possibility of total fertility using fuzzy matrix theory by measuring the follicle fertilization possibility based on follicle size. Also developed a computer program to calculate fuzzy matrix based on MaxMin rule using JavaScript.

Fuzzy Matrix Theory as a Knowledge Discovery in Health Care Domain

Breast cancer is the most common of all cancers and is the leading cause of cancer deaths in women worldwide. It is the second most common cause of cancer death in women. It is common disease in India and accounted that 25% to 31% is the breast cancer in women in Indian cities. Breast cancer is a disease in which malignant (cancer) cells form in the tissues of the breast. The damaged cells can invade surrounding tissue, but in early detection and treatment, it is possible to cure the disease and return to normal life.This article explores knowledge discovery in health care domain. In particular, it discusses about data mining and its application in people who affected severely in breast cancer using Fuzzy Matrix Theory model, it identified the risk factor of which age group of women's associated with the breast cancer impactions.

Mathematical Analysis of Side effects of HIV/AIDS Medication

Acquired Immune deficiency syndrome (AIDS) is caused by Human immunodeficiency virus (HIV); More than 40 Million people live with HIV worldwide. Various antiretroviral classes of drugs are used to treat HIV infection and the prolonged treatment has to be taken for the rest of life. It is very difficult to continue prolonged treatment because of problem of adherence and side effects. The basic purpose of antiretroviral treatment is to maintain the quality of life of a patient. However, these side effects vary from drug to drug and patient to patient. The objective of this research is to be modeled some major drug induced side effects by using fuzzy matrix theory which is one of the best tools to analyze unsupervised data involving imprecision. This study is of interest for HIV Specialist and physician who care for HIV/AIDS patients with an aim to concentrate more on safety profile of HIV/AIDS drugs. DOI: http://dx.doi.org/10.3329/bjms.v13i2.13884 Bangladesh Journal of Medical Science Vol.13(2) 2014 p.119-123

Regular fuzzy matrices and fuzzy equations

There have been many researches on fuzzy relational equations. In this paper, under the general framework of fuzzy matrix theory, we first introduce ranks and regularity properties of fuzzy matrices. Then for a regular matrix A ϵ M n ( F ), we study the generalized inverses of A and the solutions of a fuzzy equation x · A = b.

Peirce allegories. Identities involving transitive elements and symmetrical ones

Peirce allegories are defined. They mix two dual allegory structures, as fuzzy matrix theory does. Sequential applications of the transitive closure, the transitive interior, the symmetric closure and the symmetric interior are studied in Peirce allegories. Semi-direct product of Peirce algebras by finite acting groups are defined. Internal characterization of such algebras is established. Properties of the coimage functor are given. Conversely, a Peirce semi-allegory is associated to a functor (on a suitable category) which resembles a coimage functor.

Generalized fuzzy matrices

We give a systematic development of fuzzy matrix theory. Many of our results generalize to matrices over the two element Boolean algebra, over the nonnegative real numbers, over the nonnegative integers, and over the semirings, and we present these generalizations. Our first main result is that while spaces of fuzzy vectors do not have a unique basis in general they have a unique standard basis, and the cardinality of any two bases are equal. Thus concepts of row and column basis, row and column rank can be defined for fuzzy matrices. Then we study Green's equivalence classes of fuzzy matrices. New we give criteria for a fuzzy matrix to be regular and prove that the row and column rank of any regular fuzzy matrix are equal. Various inverses are also studied. In the next section, we obtain bounds for the index and period of a fuzzy matrix.