Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar

The purpose of the present work is to introduce and study the concept of interval type-2 (IT2) fuzzy grammar which recognizes the given IT2 fuzzy languages. The relationship between IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars is discussed. Specifically, the results we obtained here are (i ) IT2 fuzzy weak regular grammar and IT2 fuzzy regular grammar generate the same classes of IT2 fuzzy languages (ii ) for a given IT2 fuzzy regular grammars, there exists an IT2 fuzzy automata such that they accept the same IT2 fuzzy languages, and vice versa. In addition, we define some operations on IT2 fuzzy languages and it is shown that IT2 fuzzy languages recognized by IT2 fuzzy automata are closed under the operations of union, intersection, concatenation and Kleene closure, but are not closed under complement

Characterization of G -Semigroup by Intuitionistic N-Fuzzy Set (INFS) and its level set

Some characterizations of G -Semigroup by intuitionistic N-fuzzy sets have been given here. The concept of intuitionistic N-fuzzy set (INFS) and its level set has been applied to G -semigroup. The notions of intuitionistic N-fuzzy G -subsemigroup and intuitionistic N-fuzzy G - ideals (left, right, lateral, quasi, and bi) have been introduced and characterized by intuitionistic N-fuzzy sets

Fuzzy finite switchboard automata with complete residuated lattices

The theory of fuzzy finite switchboard automata (FFSA) is introduced by the use of general algebraic structures such as complete residuated lattices in order to enhance the process ability of FFSA. We established the notion of homomorphism, strong homomorphism and reverse homomorphism and shows some of its properties. The subsystem of FFSA is studied and the set of switchboard subsystemforms a complete ℒ -sublattices is shown. The algorithm of FFSA with complete residuated lattices is given and an example is provided

Interval-valued fuzzy ku-ideals of ku-algebras

In this paper, we introduced the notion of interval-valued fuzzy KU-ideals of KU-algebras and some related properties are investigated. We proved that U is a KU-ideal if and only if the interval-valued fuzzy subset is an interval-valued fuzzy KU-ideal of a KU-algebra for e-

INVESTIGATION OF INDUSTRY 5.0 HURDLES AND THEIR MITIGATION TACTICS IN EMERGING ECONOMIES BY TODIM ARITHMETIC AND GEOMETRIC AGGREGATION OPERATORS IN SINGLE VALUE NEUTROSOPHIC ENVIRONMENT

Industry 5.0 acceptance is accelerating, but research is still in its infancy, and existing research covers a small subset of context-specific obstacles. This study aims to enumerate all potential obstacles, quantitatively rank them, and assess interdependencies at the organizational level for Industry 5.0 adoption. To achieve this, we thoroughly review the literature, identify obstacles, and investigate causal relationships using a multi-criteria decision-making approach called single value Neutrosophic TODIM. Single-valued Neutrosophic sets (SVNS) ensembles are employed in a real-world setting to deal with uncertainty and indeterminacy. The suggested strategy enables the experts to conduct group decision-making by focusing on ranking the smaller collection of criterion values and the comparison with the decision-making trial and evaluation laboratory method (DEMATEL). According to the findings, the most significant hurdles are expenses and the funding system, capacity scalability, upskilling, and reskilling of human labor. As a result, a comfortable atmosphere is produced for decision-making, enabling the experts to handle an acceptable amount of data while still making choices

Numerical modelling for nanoparticle thermal migration with effects of shape of particles and magnetic field inside a porous enclosure

Computational modelling for nanoparticle migration inside a permeable space has been reported. Impacts of shape factor and radiation were included in the mathematical model. CVFEM was employed to analyse magnetic force impact. Impacts of magnetic radiative parameters, buoyancy forces and nanoparticle shape on nanomaterial behaviour were demonstrated. Utilizing the Darcy model helps us to predict the behaviour of porous media. Outputs revealed higher convective mode can be achieved with augmenting buoyancy force while opposite outcome appears when magnetic field is imposed. Thermal plume vanishes with the rise of conductive mode which is gained as Hartmann increases

Modelling and simulation of fluid flow through a circular cylinder with high reynolds number: a COMSOL multiphysics study

In this study, we intend to investigate the steady-state and laminar �ow of a viscous �uid through a circular cylinder �xed between two parallel plates keeping the aspect ratio of 1 : 5 from cylinder radius to height of the channel. �e two-dimensional, in�compressible �uid �ow problem has been simulated using COMSOL Multiphysics 5.4 which implements �nite element’s procedure. �e �ow pattern will be investigated by using the Reynolds number from 100 to 1000. �e reattachment length formed at the back of the cylinder and drag force when the �uid comes to strike with the front surface of the cylinder is expressed in terms of Reynolds numbers. We propose to calculate the velocity and the pressure before and after the cylinder. For this purpose, two�line graphs before and after the cylinder will be drawn to check the impact of cylinder on both velocity and pressure. It was found that the percentage change in the velocity as well as pressure before to after the cylinder is changing their behaviours at Re � 700. �e study is important because the empirical equations between the vortex’s lengths formed along the cylinder using the linear regression process obtained in this study may be used for future implementatio

Simulation of heat transfer in 2D porous tank in appearance of magnetic nanofluid

In current two dimensional nanomaterial convective flow, Lorentz force has been utilized to manage the flow pattern. Nano sized powders with homogeneous behavior were dispersed into H2O within a permeable media. Not only the buoyancy force but also the radiation affects the temperature distribution. In addition, nanoparticles’ shape was involved in correlation of estimating nanomaterial behavior. Result demonstrated that convective flow augments with both Rayleigh and Darcy number and lessen with respect to Hartman number. Augmenting Darcy number wills leads to reduce the effect of Lorentz forces. Nuave augment with thermal radiation Rd and decrease with Hartmann number Ha. Thinner boundary layer is an output of augmenting permeability

An impulsive approach for numerical investigation of hybrid fuzzy differential equations and intuitionistic treatment for fuzzy ordinary and partial differential equations

Many evolution processes are characterized by the fact that at certain moments of time, they experience a change of state abruptly. It is assume naturally, that those perturbations act instantaneously, in the form of impulses. The impulsive differential equations, by means differential equations involving impulse effects, are seen as a natural description of observed evolution phenomenon of several real world problems. For example, systems with impulse effect have applications in physics, biotechnolagy, industrial robotics, pharmacokinetics, population dynamics, ecology, optimal control production theory and many others. Therefore, it is beneficial to study the theory of impulsive differential equations as a well deserved discipline, due to the increase applications of impulsive differential equations in various fields in the future. However, in many mathematical modelling of the real world problems, fuzziness and impulsiveness occurs simultaneously. This problem would be better modelled by impulsive fuzzy differential equations. Therefore, this research applies the theory of impulsive fuzzy differential equations by combining the theories of impulsive differential equations and fuzzy differential equations. The numerical algorithms are developed and the solutions are verified by comparing the results with the analytical solutions. The novel method for the first order linear impulsive hzzy differential equations under generalized differentiability is also proposed analytically and numerically, The convergence theor~m for the impulsive fuzzy differential equations (FDE) under generalized differentiability is defined. In this study, Ant Colony Programming (ACP) was used to find the optimal solution of FDE. Results obtained show that the method is effective in solving fuzzy differential equation. The solution in this method is equivaIent to the exact solution of the problem. Modified Romberg's method and Modified Two-step Simpson's 318 method are used to solve FDE with hzzy IVP has been successfully derived. The result has been shown that Modified Rornberg's method gave smaller error than the Standard Euler's method. Therefore Modified Romberg's method can estimate the solution of fizzy differential equation more effectively than the Euler's method in solving fuzzy differential equation. Meanwhile, by using the modified wo-step Simpson's 318 methods, it has been shown that the solution of FDE provide more accurate approximation to the exact solution and it also gives better results than the Runge-Kutta method. In other words, Modified Twostep Simpson's 318 method is an effective method to solve fuzzy differential equation compared to the Runge-Kutta method

Intelligent System Stability using Type-2 Fuzzy Controller

To avoid mathematical complexity, Interval T2FSs (IT2FSs) have been pertained in majority of the fields.  Type-2 Fuzzy sets (T2FSs) handle a greater modelling and uncertainties which exist in the real world applications especially in control systems.  One of the important components which influence the fuzzy controller is the triangular norms which are the aggregation operators. For getting the stability of a control system T Norm operator can be preferred. Gaussian Interval Type-2 Membership Function (GIT2MF) has been used in this paper. Also mathematical properties of aggregation operator are proved using Gaussian Interval Type-2 Weighted Arithmetic (GIT2WA) Operator. The aim of this work is analyzing the stability of an inverted pendulum using Interval Type-2 Fuzzy Logic controller (IT2FLC) and the results are compared with traditional Proportional Integrated Derivative (PID) Controller.  It is observed that IT2FL controller gives better stability under imprecise condition