Journal of Fuzzy Extension and Applications
https://www.journal-fea.com/
Journal of Fuzzy Extension and Applicationsendaily1Wed, 01 Mar 2023 00:00:00 +0330Wed, 01 Mar 2023 00:00:00 +0330The nilpotent ( p-group) of (D25 X C2n) for m > 5
https://www.journal-fea.com/article_162112.html
Abstract The term fuzzy logic is generic as it can be used to describe the likes of fuzzy arithmetic, fuzzy mathematical programming, fuzzy topology, fuzzy graph theory ad fuzzy data analysis which are customarily called fuzzy set theory. The aspect of pure Mathematics has undergone a lot of dynamic developments over the years. Since inception , the study has been extended to some other important classes of finite abelian and nonabelian groups such as the dihedral , quaternion, semidihedral, and hamiltonian groups. Other different approaches have been so far, applied for the classification. Every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics. Efforts are carefully being intensified to calculate , in this paper, the explicit formulae for the number of distinct fuzzy subgroups of the Cartesian product of the dihedral group of order 25 with a cyclic group of order of an n power of two for, which n &ge; 5.Global domination in Fuzzy graphs using Strong arcs
https://www.journal-fea.com/article_159782.html
Sambathkumar introduces the notion of global domination in graphs. According to him, a dominating set S of G is a global dominating set of G if S is also a dominating set of the complement of G.Nagoorgani and Jahir Hussain introduced the concept of global domination infuzzy graphs using effective arcs. This paper presents global domination infuzzy graphs using strong arcs. The strong global domination number of different classes of fuzzy graphs is obtained. An upper bound for the strong globaldomination number of fuzzy graphs is obtained. Strong global domination infuzzy trees is studied. It is established that every node of a strong global dominating set of a fuzzy tree is either a fuzzy cut node or a fuzzy end node. Itis proved that in a fuzzy tree each node of a strong global dominating set isincident on a fuzzy bridge. Also, the characteristic properties of the existenceof a strong global dominating set for a fuzzy graph and its complement areestablishedFuzzy metric topology space and manifold
https://www.journal-fea.com/article_150211.html
This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces and fuzzy metric manifold spaces via the notations of KM-fuzzy metric spaces.This study, generalises the concept of fuzzy metric space to union and product of fuzzy metric spaces in classical logic and in this regard investigates the some product of fuzzy metric fuzzy manifold spaces. We apply the notation of valued-level subsets and make a relation between of topological space, Husdorff space, manifold space and fuzzy topological space, fuzzy Husdorff space and fuzzy manifold space. In final, we extended the fuzzy topological space, fuzzy Husdorff space and fuzzy manifold space to fuzzy metric topological space, fuzzy metric Husdorff space and fuzzy metric manifold spaceIndeed, this study analyses the notation of fuzzy metric manifold based on valued-level subset.Spherical Distance Measurement Method for Solving MCDM Problems under Pythagorean Fuzzy Environment
https://www.journal-fea.com/article_159017.html
Multiple criteria decision analysis (MCDA) has been widelyinvestigated and successfully applied to many fields, owingto its great capability of modeling the process of actualdecision-making problems and establishing proper evaluationand assessment mechanisms. With the developmentof management and economics, real-world decision-makingproblems are becoming diversified and complicated to anincreasing extent, especially within a changeableand unpredictable environment. Multi-criteria decision making is a decision-making technique that explicitly evaluates numerous contradictory criteria. TOPSIS is a well-known multi-criteria decision-making process. The goal of this research is to use TOPSIS to solve MCDM problems in a Pythagorean fuzzy environment. The distance between two Pythagorean fuzzy numbers is utilised to create the model using the spherical distance measure. To construct a ranking order of alternatives and determine the best one, the revised index approach is utilised. Finally, we look at a set of MCDM problems to show how the proposed method and approach work in practise. In addition, it shows comparative data from the relative closeness and updated index methods.On some related concepts n-cylindrical fuzzy neutrosophic topological spaces
https://www.journal-fea.com/article_166775.html
This work is the continuation of our recent work entitled &ldquo;n-Cylindrical Fuzzy Neutrosophic Topological Spaces (n-CyFNTS). In this paper, we present n-Cylindrical fuzzy neutrosophic (n-CyFN) continuous functions and related results. A characterization on n-CyFN continuous functions is proposed as well. Along with familiarising the n-CyFN interior and n-CyFN closure of sets in n-Cylindrical fuzzy neutrosophic topological space (n-CyFNT) and its basic theorems, we define n-CyFN open function, n-CyFN closed function and n-CyFN homeomorphism.An Overview of Plithogenic Set and Symbolic Plithogenic Algebraic Structures
https://www.journal-fea.com/article_165732.html
This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest. Starting with some examples, we proceed towards general structures. Then we present definitions and applications of the principal concepts derived from plithogeny, and relate them to complex problems.A note on somewhat fuzzy continuity
https://www.journal-fea.com/article_157842.html
Thangaraj and Balasubramanian introduced the so-called somewhat fuzzy semicontinuous and somewhat fuzzy semiopen functions. Two years later, the same authors defined two other types of functions called somewhat fuzzy continuous and somewhat fuzzy open without indicating connections between them. At first glance, we may easily conclude (from their definitions) that every somewhat fuzzy continuous (resp. open) function is slightly fuzzy semicontinuous (resp. semiopen) but not conversely. In this note, we show that they are equivalent. We further prove that somewhat fuzzy continuous functions are weaker than fuzzy semicontinuous functions.Providing a Hybrid Fuzzy Approach to Explain Managers’ Mental Paradigms to Prioritize Employee Needs
https://www.journal-fea.com/article_159883.html
Today, most manufacturing and service companies adopt a customer-oriented approach to take into account employee needs and expectations as a strategic principle for sustainability and success in a competitive market. Meanwhile, Sengeh argues that &ldquo;many of the best ideas and strategies will not be realized due to the conflict between new ideas and managers&rsquo; subjective model, rather than the management weakness&rdquo;. On the other hand, managers&rsquo; decisions based on self-developed rules can suffer all kinds of biases . As Bierzman explains: &ldquo;managers&rsquo; mental heuristic rules lead to weak analysis of information, inappropriate weighting of the various data, and an investigation of few alternatives for decision-making, which can lead to systematic errors and common biases in the decision&rdquo;. Addressing the existing gap between managers&rsquo; subjective perceptions of employees and employees&rsquo; self-perceptions, the present study aims to present a new systematic approach with a combination of Delphi, Kano and AHP methods in an attempt to explain managers&rsquo; mental paradigms in Abadan Oil Refinary Company as one of the elading ones in the Middle East. The statistical population of the study consists of 18 experienced managers (using snowball method) and 203 employees at Abadan&rsquo;s Oil Refinery (using the Cochran formula). The validity and reliability of the questionnaire were also confirmed using Kendall&rsquo;s Correlation Coefficient, Cronbach&rsquo;s Alpha coefficient, and Gogus and Butcher&rsquo;s Incompatibility Rate. First, needs were determined from the views of the experts using the Fuzzy Delphi method, and then, Kano&rsquo;s non-linear model and Alpha-cut (&alpha;-Cut) method were used to classify 21 components as basic, performance, and excitement needs. In the end, the needs have been ranked using the Fuzzy AHP method. The results indicated that the proposed method was effectively successful in reducing biases, vagueness, and possible inconsistencies in managers' decisions and judgments. Overall, the method presented insights on the significance ofOn the Introduction to neutrosophic statistics and neutrosophic algebraic structures ( involving the fuzziness, similarity and the symmetry properties on the neutrosophic interval probability) (1)
https://www.journal-fea.com/article_162594.html
Abstract The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important useful as tools for measuring the degree of similarity between sets of given objects is the similarity measure . In this paper, neutrosophic numbers as well as the generalized Dice similarity measure for neutrosophic numbers for two sets are defined after which the axioms of fuzziness similarity and symmetry satisfying the NISN the properties were proved.On Refined Neutrosophic Finite p-Group
https://www.journal-fea.com/article_163041.html
Abstract. The neutrosophic automorphisms of a neutrosophic groups G(I), denoted by Aut(G(I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G(I) which is also a neutrosophichomomorphism. Moreover, suppose that X1 = X(G(I)) is the neutrosophic group of Inner neutrosophic auto-morphisms of a neutrosophic group G(I) and Xn the neutrosophic group of Inner neutrosophic automorphismsof Xn1. In this paper, we show that if any neutrosophic group of the sequence G(I);X1;X2; : : : is the identity,then G(I) is nilpotent.On Algebraic Aspects of \eta-Fuzzy Subgroups
https://www.journal-fea.com/article_166554.html
In this paper, we define the term of η-fuzzy subgroup and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of η-fuzzy normal subgroup and quotient group with respect to the η-fuzzy normal subgroup and demonstrate some of their various group theoretical properties.n-Cylindrical Fuzzy Neutrosophic Topological Spaces
https://www.journal-fea.com/article_170808.html
Many advances have been made in the field of research since Chang created fuzzy topological space. The goal of this study is to incorporate topological space into the realm of n- cylindrical fuzzy neutrosophic sets (n-CyFNS), which are the most novel type of fuzzy neutrosophic sets. In this paper we define n-cylindrical fuzzy neutrosophic topological spaces (n-CyFNTS), n-CyFN Open sets and n-CyFN Closed sets. Also we put forward definition of n-CyFN base and a characterization for the base of an n-CyFNTS.BRIDGE DOMINATION IN FUZZY GRAPHS
https://www.journal-fea.com/article_170809.html
In communication networks, strong connectivity between nodes are critical. The failure of strong connectivity between nodes may jeopardize the network&rsquo;s stability. In fuzzy graphs, various dominating sets using strong edges are identified to avoid network stability. In this paper, the concept of bridge domination set and bridge domination number &gamma;_B (G) in fuzzy graphs is introduced. A few prominent properties of bridge domination numbers are chosen and analysed using relevant examples. The bridge domination number of fuzzy trees, constant fuzzy cycles, complete fuzzy and bipartite fuzzy graphs are identified. The use of bridge domination in a partial mesh topology to ensure network continuity in the event of a node failure is demonstrated.Picture Fuzzy Semi-prime Ideals
https://www.journal-fea.com/article_171483.html
Picture fuzzy sets are expanded to include intuitionistic fuzzy sets, with the extra advantage of avoiding underlying limitations. Picture fuzzy sets based models may be adequate in situations when we face opinions involving more answer of types: yes, abstain and no. In this paper, the concepts of semi-prime ideals of Picture fuzzy sets are explained. We also discussed how to construct Picture fuzzy regular and intra-regular ideals and represents certain fundamental facts.Interval Type-2 Fuzzy Logic System for Early Software Reliability Prediction
https://www.journal-fea.com/article_171957.html
The reliability of software product is seen as critical quality factor that cannot be overemphasized. Since real world application is loaded with high amount of uncertainty, such as applicable to software reliability, there should be a technique of dealing with such uncertainty. This paper presents a reliability model to effectively handle uncertainty in software data to enhance reliability prediction of software at the early (requirements and design) stages of software development life cycle. In this paper, a hybrid methodology of Takagi-Sugeno-Kang (TSK)-based Interval type-2 fuzzy logic system (IT2FLS) with artificial neural network (ANN) learning is employed for the prediction of software reliability. The parameters of the model are optimized using gradient descent back-propagation method. Relevant reliability software requirement and design metrics and software size metrics are utilized as inputs. The proposed approach uses twenty-eight real software project data. The performance of the model is evaluated using five performance metrics and found to provide output values that are very close to the actual output showing better predictive accuracy.A Cubic Set Discussed In Incline Algebraic Sub – Structure
https://www.journal-fea.com/article_171958.html
An effective and flexible method for encoding ambiguous data is the use of cubic sets. The concept of Incline algebraic sub-structure is considered and is interlinked with the notation of Cubic set to define cubic subincline. With relevant results, the sense of cubic subincline of algebra is established. Additionally, the results such as homomorphic image, preimage, Cartesian product and level sets of cubic subincline are worked out in this study and a number of its associated findings were looked into.Pythagorean and Fermatean Fuzzy Sub-Group Redefined in context of T ̃-Norm and S ̃-Conorm
https://www.journal-fea.com/article_172114.html
This paper aims to study the Pythagorean and Fermatean fuzzy subgroups in context of T ̃-normand S ̃-conormfunctions.In this paper, we studied the extensions of fuzzy subgroups named &ldquo;Pythagorean fuzzy subgroups&rdquo; and &ldquo;Fermatean fuzzy subgroups&rdquo;, along with their properties.As it is known that the T ̃-norm and S ̃-conorm functions can be defined in various ways.In the existing literature on&ldquo;Pythagorean fuzzy subgroups&rdquo; and &ldquo;Fermatean fuzzy subgroups&rdquo;, we have the standard properties &ldquo;min&rdquo; and &ldquo;max&rdquo; properties for membership and non-membership functions respectively. But in this present work, we gave a theory for the &ldquo;min&rdquo; with T ̃-norm and &ldquo;max&rdquo; with S ̃-conorm and defined Pythagorean and Fermatean fuzzy subgroups with T ̃-norm and S ̃-conorm along with examples respectively.By dealing with this concept, we will have more than one option to choose minimum and maximum. Also, we proved some results of the Pythagorean and Fermatean fuzzy subgroup with T ̃-norm and S ̃-conorm and also discussed some important properties.