Dr. R. MUTHURAJ
@hhrc.ac.in
Assistant Professor
H. H . The Rajah's College, Pudukkottai
EDUCATION
M.Sc., M.Phil., Ph.D
RESEARCH INTERESTS
Fuzzy Mathematics and its Applications
Scopus Publications
Scopus Publications
R. Muthuraj, K. Nachammal, M. Jeyaraman, and D. Poovaragavan
Horizon Research Publishing Co., Ltd.
R. Muthuraj, , , , K. Nachammal, and M. Jeyaraman
American Scientific Publishing Group
In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized Cauchy. We determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean Neutrosophic Normed Space. This work indeed presents a relationship between four various disciplines, the theory of neutrosophic normed space, non – Archimedean, Hyers-Ulam-Rassias stability and functional equation.
In recent years, Intuitionistic fuzzy set is very useful in decision making problems such as medical diagnosis, pattern recognition, clustering etc., which deals with vagueness and uncertainty. Similarity measure is a tool used to find the closeness of the intuitionistic fuzzy sets by considering the membership, nonmembership and hesitation function. In this paper, we propose an effective similarity measure based on tangent function for intuitionistic fuzzy multi sets in which membership, nonmembership, hesitation function occurs more than once and also we apply this measure in medical diagnosis and pattern recognition.
Various safety gears and techniques are available in cars but save for the helmet, not much of safety gears have been introduced for the bike riders. Bike riders indulge in fatal accidents during their rides and race riders in spite of wearing the best safety gears get injured severely with spinal cord and chest being most vulnerable during the impact. Daily riders or race riders, accidents are inevitable. It’s entirely upon us to equip ourselves with an additional safety gear for our own safety purposes. The project, safety inflation bag, provides the best solution to prevent injuries to spinal cord and chest. Here, a pneumatic actuator is used to inflate the air channels sewn inside the bag which provides protection for chest and spinal cord. This technique is implemented in a bag, as bag is most commonly used during bike rides. Be it for office goers or for riders on long trips, bag is necessary and fixating the safety gear inside the bag serves the rider than just for carrying items. It could save the life. It could prevent him from enduring critical injury to spinal cord or chest. During the time of impact, the pneumatic cylinder goes off, releasing the compressed air through the air channels pressed against chest and spinal cord thus inflating them at the right time to provide a solid balloon protection. This project could serve as the first step to a major safety innovation for bike riders.
Manikandan Harikrishnan, Jeyabharathi Sundarrajan, and Muthuraj Rengasamy
Hindawi Limited
Classical statistics and many data mining methods rely on “statistical significance” as a sole criterion for evaluating alternative hypotheses. It is very useful to find out the significant difference existing between the samples as well as the population or between two samples. But in this paper, the researchers try to apply the concepts of fuzzy group testing of hypothesis problem between multi group of samples of same size or different, through comparing the parameters like mean, standard deviation, and so forth. Hence we can compare multigroups such that they have the significant difference in their mean or standard deviation or other parameters through the fuzzy group testing of multihypotheses. The authors introduced and investigated the concepts very first time through fuzzy analysis that can decide which group(s) or samples can be taken for further investigation and eitherH0is rejected or accepted and hence the next discussion provides the properties of group of samples which may result in the optimized solution for the problem.
R. Muthuraj, R. Pandiselvi, and S. Manro
Hikari, Ltd.
In this paper, we prove common fixed point theorems for weakly compatible mappings satisfying strict contractive condition in generalized fuzzy metric spaces by using property (E.A). Mathematics Subject Classification: 54E40, 54E35, 54H25
K. H. Manikandan and R. Muthuraj
Hikari, Ltd.
In this paper, we define the concept of pseudo fuzzy cosets of a fuzzy HX subgroup of a HX group and pseudo fuzzy cosets of an anti fuzzy HX subgroup of a HX group with suitable examples. Also We discussed some of their properties. Mathematics Subject Classification: 20N25, 03E72, 03F055, 06F35, 03G25