45 research outputs found
Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar
No full textThe 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
Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions
No full textOne of the many techniques to obtain a new convex function from the given functions is to calculate the product of these functions by imposing certain conditions on the functions. In general, the product of two or finite number of convex function needs not to be convex and, therefore, leads us to the study of product of these functions. In this paper, we reframe the idea of product of functions in the setting of generalized convex function to establish Hermite–Hadamard-type inequalities for these functions. We have analyzed different cases of double and triple integrals to derive some new results. The presented results can be viewed as the refinement and improvement of previously known results
Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
No full textIn this study, we address the difficult group decision-making situations in which the preference data are represented by linguistic variables using the dynamic programming approach. Making decisions with exact numbers is difficult for decision-makers due to the ambiguity and complexity of reality. Since they cannot be computed directly, the language variables were encoded using single and interval neutrosophic sets. In a real-world context, neutrosophic sets are used to manage indeterminacy. Then, new models of similarity and distance are developed to quantify the relations between interval and single neutrosophic sets. Next, an interval-based clustering approach based on dynamic programming is proposed and used to group the decision-makers. In addition, a novel method is provided to calculate interval weights for decision-makers and clusters, considering both the cluster centre and group size. Next, a centroid-based ranking method is used to compare and rank the possibilities, and the effectiveness of the proposed strategy is demonstrated through illustrative trials. The purpose of the comparisons and discussions is to demonstrate its superiority
Intelligent System Stability using Type-2 Fuzzy Controller
No full textTo 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
Usability evaluation successful factors (SFs) framework through entrepreneurship program at community college Malaysia: modified norminal group technique approach
No full textThis paper discusses the success factors (SFs) of the entrepreneurship programme available in Malaysian community colleges. The benefit of the Modified Nominal Group Technique (NGT) approach carried out aims to achieve understanding of the usability test and evaluation of the SFs framework. The objective of this study is to identify the usability and evaluation of lecturers on the elements of entrepreneurship for four domain areas, strategy, environment, temporal and industry. The analysis covers the importance of SFs framework development, which determines the type of framework to use as reference in carrying out the entrepreneurship programme in Malaysian community colleges. In the usability test and evaluation process, 21 experts were chosen from three types of community college, from whom seven lecturers were allocated to each programme based on the understanding of the lecturers. Questionnaires were distributed to seek lecturer consensus. The Statistical Package for the Social Sciences (SPSS) version 22.0 was used to analyse and find the percentage of consensus for each domain within the framework. This was to find the percentage of expert consensus against the SFs framework. The result of the analysis shows more than 75% acceptance and consensus for the functionality of SFs. Basically, this analysis is capable of providing reference and guidelines for the development of a SFs framework. Therefore, the analysis is able to provide information and reference for future researchers to explore the domain of entrepreneurship
Interval-valued fuzzy ku-ideals of ku-algebras
No full textIn 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
No full textIndustry 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
