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    A NEW PERSPECTIVE OF NEUTROSOPHIC HYPERCONNECTED SPACES
    (University of New Mexico, 2022) Sasikala, D; Deepa, M
    The focus of this article is to introduce a new class of sets namely neutrosophic semi j-open and neu- trosophic semi j-closed sets in neutrosophic topological space. Using this, we present the new spaces neutrosophic hyperconnected and neutrosophic semi j-hyperconnected. Also we explore the characteristics of neutrosophic semi j-open sets, neutrosophic semi j-closed set, neutrosophic hyperconnectedness. Finally we examine the properties of neutrosophic semi j-hyperconnectedness with some existing sets.
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    AN ELEMENTARY APPROACH ON HYPERCONNECTED SPACES
    (Turkish Journal of Computer and Mathematics Education, 2021-04-20) Sasikalaa, D; Deepa, M
    This paper aims to establish a new notion of hyperconnected spaces namely semi j hyperconnected spaces by using semi j open sets. The relation between the existing spaces are also discussed. We also investigate some elementary properties of semi j hyperconnected spaces.
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    A NOTE ON CONNECTEDNESS IN TOPOLOGICAL SPACES
    (Advances in Mathematics: Scientific Journal, 2020) Sasikala, D; Deepa, M
    In this paper, we introduce two new types of connectedness namely j-connectedness and 1 2 j-connectedness in a topological space. Also, we discuss some of their basic properties and analyze the characterization using theorems.
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    CHARACTERIZATION OF J-OPEN SETS IN MINIMAL STRUCTURE SPACES
    (Malaya Journal of Matematik, 2020-07-04) Deepa, M; Surekha, S S
    The aim of this paper is to introduce the notion of m-j open sets in minimal structure spaces together with its corresponding interior and closure operators. Furthermore, we investigated the basic properties of the sets and studied their relationship with other existing sets. Moreover, the minimal structure properties of j-border, j-frontier and j-exterior of the sets have been discussed.
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    VOLUME MINIMIZATION OF A CLOSED COIL HELICAL SPRING USING ALO, GWO, DA, FA, FPA, WOA, CSO. BA, PSO AND GSA
    (Horizon Research Publishing, 2021-04-18) Rejula Mercy, J; Elizabeth Amudhini Stephen, S
    Springs are important members often used in machines to exert force, absorb energy and provide flexibility. In mechanical systems, wherever flexibility or relatively a large load under the given circumstances is required, some form of spring is used. In this paper, non-traditional optimization algorithms, namely, Ant Lion Optimizer, Grey Wolf Optimizer, Dragonfly optimization algorithm, Firefly algorithm, Flower Pollination Algorithm, Whale Optimization Algorithm, Cat Swarm Optimization, Bat Algorithm, Particle Swarm Optimization, Gravitational Search Algorithm are proposed to get the global optimal solution for the closed coil helical spring design problem. The problem has three design variables and eight inequality constraints and three bounds. The mathematical formulation of the objective function U is to minimize the volume of closed coil helical spring subject to constraints. The design variables considered are Wire diameter d, Mean coil diameter D, Number of active coils N of the spring. The proposed methods are tested and the performance is evaluated. Ten non-traditional optimization methods are used to find the minimum volume. The problem is computed in the MATLAB environment. The experimental results show that Particle Swarm Optimization outperforms other methods. The results show that PSO gives better results in terms of consistency and minimum value in terms of time and volume of a closed coil helical spring compared to other methods. When compared to other Optimization methods, PSO has few advantages like simplicity and efficiency. In the future, PSO could be extended to solve other mechanical element problems.
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    SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM
    (DergiPark, 2023) Basil, S; Antony, S
    In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we investigate a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; we present a non-trivial example to validate the result. As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative.
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    ON FINITE-TIME STABILITY OF NONLINEAR FRACTIONAL-ORDER SYSTEMS WITH IMPULSES AND MULTI-STATE TIME DELAYS
    (Elsevier, 2021-04) Arthi G; Brindha N
    This work concentrates on the finite-time stability (FTS) analysis of fractional-order systems (FOS) with impulsive effects and multi-state time delays. The condition which give assurance for FTS of nonlinear FOS having impulsive behavior and multi-state time delay are derived by utilizing the generalization of Gronwall’s inequality (GI). At last, two numerical examples are given which provide the accuracy of the given result.
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    CONTROLLABILITY OF NON-LINEAR FRACTIONAL-ORDER SYSTEMS WITH DAMPING BEHAVIOUR AND MULTIPLE DELAYS
    (Oxford Academic, 2021-09) Arthi G; Suganya K
    A controllability analysis of both linear and non-linear fractional-order systems with damping behaviour and multiple delays is studied. We derived the controllability result for damped system with multi-term fractional order and multiple delays by introducing some lemmas with the help of Laplace transform properties and Mittag–Leffler function. Further, some new sufficient conditions ensuring controllability for a class of non-linear multi-term fractional-order damped systems with multiple delays are established by utilizing fractional Caputo derivatives and Schauder’s fixed point theorem. Moreover, as applications that demonstrate the proposed results, two examples are presented.
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    CONTROLLABILITY OF HIGHER ORDER STOCHASTIC FRACTIONAL CONTROL DELAY SYSTEMS INVOLVING DAMPING BEHAVIOR
    (Elsevier, 2021-12-01) Arthi G; Suganya K
    This article focuses on the problem of controllability of both cases linear and nonlinear higher order stochastic fractional control delay systems with damping behavior, which involving Caputo fractional derivative (CFD). The proposed approach utilizes the ideas of controllability Grammian matrix involving Mittag-Leffler function (MLF) and Burkholder-Davis-Gundy’s inequality. By employing Banach fixed point theorem, we establish the exact method to design a stochastic perturbation to control the considered nonlinear higher order fractional differential systems. As a final point, the derived design is illustrated with two numerical examples.
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    A NEW HYBRID APPROACH TO TRAVELLING SALESMAN PROBLEM BY REINFORCEMENT LEARNING AND IMPROVEMENT BY TWO-OPT ALGORITHM
    (The Seybold Report, 2023-03-30) Brindha T; Saurabhee, Sakthivel
    Travelling Salesman Problem is a well-known problem in combinatorial optimization theory that is still being extensively studied up to date. Various approaches have been analyzed and developed to find an optimal solution to this problem. This paper focuses on a new hybrid approach to the Travelling Salesman Problem using Reinforcement Learning and its improvement by Two-Opt algorithm. The proposed algorithm has been applied to three real world problems, which are the three South Indian states namely, Tamil Nadu, Kerala and Andhra Pradesh which has 32, 16 and 27 cities respectively. The proposed algorithm is also compared to the classical algorithms, especially the Two- Opt algorithm to analyse and find the best of the two given here