REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS Rengasamy Muthuraj, Palanisamy Vijayalakshmi, Anandaraman Sasireka Journal of Mechanics of Continua and Mathematical Sciences, 2024 AG = (N, A, σ, μ) be a anti fuzzy graph. A partition of N(AG) Π = {D1, D2, …., Dk} is a regular anti fuzzy partial domatic partition of AG if (i) for each Di, < Di > is an anti fuzzy regular and (ii) Di is an anti fuzzy dominating set of GA. The maximum fuzzy cardinality of a regular anti fuzzy partial domatic partition of AG is called the regular anti fuzzy partial domatic number [RAPDN]of AG and it is denoted by Also these numbers are determined for various anti fuzzy graph. In this work, random r- regular anti fuzzy graph, regular partial domatic number in anti fuzzy graphs, regular partial anti domatic number in anti fuzzy graphs are introduced. Some bounds for anti fuzzy domatic numbers are discussed.
Hyers-Ulam-Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces R. Muthuraj, K. Nachammal, M. Jeyaraman International Journal of Neutrosophic Science, 2023 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.
Common fixed point theorems for weakly compatible mappings in intuitionistic generalized fuzzy metric spaces Palestine Journal of Mathematics, 2020
New similarity measure between intuitionistic fuzzy multisets based on tangent function and its application in medical diagnosis International Journal of Recent Technology and Engineering, 2019 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.
Operations on intuitionistic anti fuzzy graphs International Journal of Recent Technology and Engineering, 2019 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.
Applications of anti fuzzy graph and role of domination on anti fuzzy graph International Journal of Recent Technology and Engineering, 2019
Multi parameterized automatic fuzzy Hx water distribution sytem International Journal of Recent Technology and Engineering, 2019
Anti independence number on anti fuzzy graph Advances in Mathematics Scientific Journal, 2019
Application of Intuitionistic multi-fuzzy set Advances in Mathematics Scientific Journal, 2019
Split total strong (WEAK) domination in Bipolar fuzzy graph Advances in Mathematics Scientific Journal, 2019
Application of HX ring theory in homomorphic encryption Advances in Mathematics Scientific Journal, 2019
New distance measure between intuitionistic fuzzy multisets and its application in appointment process Advances in Mathematics Scientific Journal, 2019
Cartesian product of bipolar L-fuzzy sub ℓ-hx groups Advances in Mathematics Scientific Journal, 2019
Total strong (Weak) domination on anti fuzzy graph Advances in Mathematics Scientific Journal, 2019
Domination on intuitionisticanti fuzzy graph Advances in Mathematics Scientific Journal, 2019
Perfect domination on anti fuzzy graph Advances in Mathematics Scientific Journal, 2019
