Journal of Fuzzy Extension and Applications
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Journal of Fuzzy Extension and Applicationsendaily1Sat, 01 Oct 2022 00:00:00 +0330Sat, 01 Oct 2022 00:00:00 +0330Fuzzy simple linear regression using Gaussian membership functions minimization problem
http://www.journal-fea.com/article_155107.html
Under the additional assumption that the errors are normally distributed, the Ordinary Least Squares (OLS) method is the maximum likelihood estimator. In this paper, we propose, for a simple regression, an estimation method alternative to the OLS method based on a so-called Gaussian membership function, one that checks the validity of the verbal explanation suggested by the observer. The fuzzy estimation approach demonstrated here is based on a suitable framework for a natural behavior observed in nature. An application based on a group of MENA countries in 2015 is presented to estimate the employment poverty relationship.Under the additional assumption that the errors are normally distributed, the ordinary least squares method is the maximum likelihood estimator. In this paper, we propose, for a simple regression, an estimation method alternative to the ordinary least squares method based on a so-called Gaussian membership function, one that checks the validity of the verbal explanation suggested by the observer. The fuzzy estimation approach demonstrated here is based on a suitable framework for a natural behavior observed in nature. An application based on a group of MENA countries in 2015 is presented to estimate the Employment Poverty relationship.Fuzzy cognitive study on post pandemic impact on occupational shift in rural areas
http://www.journal-fea.com/article_154421.html
The pandemic has created a wide range of impacts on the livelihood of the people especially in their occupation and income generation. The horrific pandemic impacts have caused the populace to switch their occupations for the sake of their livelihood sustainability. This research works aims in determining the impacts of the occupational shifts especially in case of rural populace. The decision-making method of Fuzzy Cognitive Maps (FCM) is used in combinations with the statistical data collection methods of survey methodology, participatory approach and multi stage purposive sampling. It is observed that a significant percentage of people have shifted from their occupation and the occupational shifts have impacts on the personal, economic, social and health dimensions of the rural populace. The factors under each dimension and their inter associational impacts are also determined using the method of FCM and FCM Expert software. Based on the findings of the research work, it is very evident that the occupational shifts have created a lot of impacts on the livelihood of the rural populace and also each of the person has experienced the impacts more personally. The societal contribution of the research lies in communicating the results and inferences to the concerned administrators so as to facilitate the affected rural populace in getting back to their primary occupation.Detection of counterfeit banknotes using genetic fuzzy system
http://www.journal-fea.com/article_154622.html
Due to developments in printing technology, the number of counterfeit banknotes is increasing every year. Finding an effective method to detect counterfeit banknotes is an important task in business. Finding a reliable method to detect counterfeit banknotes is a crucial challenge in the world of economic transactions. Due to technological development, counterfeit banknotes may pass through the counterfeit banknote detection system based on physical and chemical properties undetected. In this study, an intelligent counterfeit banknote detection system based on a Genetic Fuzzy System (GFS) is proposed to detect counterfeit banknotes efficiently. GFS is a hybrid system that uses a network architecture to fine-tune the membership functions of a fuzzy inference system. The learning algorithms Fuzzy Classification, Genetic Fuzzy Classification, ANFIS Classification, and Genetic ANFIS Classification were applied to the dataset in the UCI machine learning repository to detect the authenticity of banknotes. The developed model was evaluated based on Accuracy (ACC), Mean Absolute Error (MAE), Root Mean Square Error (RMSE), Error Mean, Error STD, and confusion matrix. The experimental results and statistical analysis showed that the classification performance of the proposed model was evaluated as follows: Fuzzy = 97.64%, GA_Fuzzy = 98.60%, ANFIS = 80.83%, GA_ANFIS = 97.72% accuracy (ACC). This shows the significant potential of the proposed GFS models for fraud detection.Soft set product extended to hypersoft set and indetermsoft set cartesian product extended to indetermhypersoft set
http://www.journal-fea.com/article_157982.html
In this paper we define the Soft Set Product as a product of many soft sets and afterwards we extend it to the HyperSoft Set. Similarly, the IndetermSoft Product is extended to the IndetermHyperSoft Set. We also present several applications of the Soft Set Product to Fuzzy (and fuzzy-extensions)&nbsp; Soft Set Product and to IndetermSoft Set and IndetermHyperSoft Set.Supply chain management problem modelling in hesitant fuzzy environment
http://www.journal-fea.com/article_155277.html
Complex nature of the current market is often caused by uncertainties, data uncertainties, their manner of use, and differences in managers' viewpoints. To overcome these problems, Hesitant Fuzzy Sets (HFSs) can be useful as the extension of fuzzy set theory, in which the degree of membership of an element can be a set of possible values and provide greater flexibility in design and, thus, model performance. The power of this application becomes clear when different decision-makers tend to independently record their views. In most real-world situations, there are several goals for managers to achieve the desired performance. Therefore, in this study, a description of the solution of the Hesitant Fuzzy Linear Programming (HFLP) &nbsp;problem for solving hesitant fuzzy multi-objective problems is considered. In the following, the multi-objective and three-level supply chain management problem is modeled with the hesitant fuzzy approach. Then, with an example, the flexibility of the model responses is evaluated by the proposed method. The hesitant fuzzy model presented in this study can be extended to other supply chain management problems.Basic fuzzy arithmetic operations using α–cut for the gaussian membership function
http://www.journal-fea.com/article_153240.html
Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian Membership using the &alpha;-cut method. As it is known that, the Gaussian membership function has a great role in modelling the fuzzy problems this is what impelled to explore its operation which can further be used in analysis of fuzzy problems. Primarily the basic operations which has been discussed here are addition, subtraction, multiplication, division, reciprocal, exponential, logarithmic and nth power.Some picture fuzzy mean operators and their applications in decision-making
http://www.journal-fea.com/article_154621.html
Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a universal set. The main objective of this article is to develop some picture fuzzy mean operators, including Picture Fuzzy Harmonic Mean (PFHM), Picture Fuzzy Weighted Harmonic Mean (PFWHM), Picture Fuzzy Arithmetic Mean (PFAM), Picture Fuzzy Weighted Arithmetic Mean (PFWAM), Picture Fuzzy Geometric Mean (PFGM) and Picture Fuzzy Weighted Geometric Mean (PFWGM), to aggregate the picture fuzzy sets. Moreover, we discuss some relevant properties of these operators. Furthermore, we apply these mean operators to make decisions with practical examples. Finally, to show the efficiency and the validity of the proposed operators, we compare our results with the results of existing methods and concluded from the comparison that our proposed methods are more effective and reliable.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;Fuzzy metric topology space and manifold
http://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.A note on somewhat fuzzy continuity
http://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 somewhat 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.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - -- - - - - - - - - - - - - - - - - - - - - - - - -Spherical Distance Measurement Method for Solving MCDM Problems under Pythagorean Fuzzy Environment
http://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.Global domination in Fuzzy graphs using Strong arcs
http://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 areestablishedProviding a Hybrid Fuzzy Approach to Explain Managers’ Mental Paradigms to Prioritize Employee Needs
http://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 ofThe nilpotent ( p-group) of (D25 X C2n) for m > 5
http://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.n-Cylindrical Fuzzy Neutrosophic Topological Spaces
http://www.journal-fea.com/article_162474.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.On the Introduction to neutrosophic statistics and neutrosophic algebraic structures ( involving the fuzziness, similarity and the symmetry properties on the neutrosophic interval probability) (1)
http://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
http://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.Some properties of Intuitionistic fuzzy modules
http://www.journal-fea.com/article_163042.html
In this paper, we discuss the structure of intuitionistic fuzzy projec- tive modules and investigate some properties of them. Also we study about intuitionistic fuzzy homomorphisms between intuitionistic fuzzy modules.We study about exact sequences, products and co-products, func- tors and relating topics in IFR &minus; Mod and investigate the relationship between them, where IFR &minus; Mod is category whose objects are intu- itionidtic fuzzy modules and morphisms are intuitionistic fuzzy homo-morphisms.For a commutative ring R and two intuitionistic fuzzy R- modulesA = (&mu;A, &nu;A) &le;IF M, B = (&mu;B, &nu;B) &le;IF N we show thatHomIF &minus;R (A, B) = (&alpha;, &beta;) is an intuitionistic fuzzy R-module.Also for a commutative ring R, if0⟶𝐴𝑓~&rarr; B 𝑔~&rarr; C is an exact sequence in IFR-Mod, where f&tilde; is IF split homomorphism, thenwe show that HomIF &minus;R(D,-) preserves the sequence, for every D &isin; IFR &minus; Mod.An Overview of Plithogenic Set and Symbolic Plithogenic Algebraic Structures
http://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.