Research Paper
Fuzzy sets and their variants
Abolfazl Rezaei; Mohammad Hemati
Abstract
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 “many of the best ideas and strategies will not ...
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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 “many of the best ideas and strategies will not be realized due to the conflict between new ideas and managers’ subjective model, rather than the management weakness”. On the other hand, managers’ decisions based on self-developed rules can suffer all kinds of biases . As Bierzman explains: “managers’ 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”. Addressing the existing gap between managers’ subjective perceptions of employees and employees’ 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’ 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’s Oil Refinery (using the Cochran formula). The validity and reliability of the questionnaire were also confirmed using Kendall’s Correlation Coefficient, Cronbach’s Alpha coefficient, and Gogus and Butcher’s Incompatibility Rate. First, needs were determined from the views of the experts using the Fuzzy Delphi method, and then, Kano’s non-linear model and Alpha-cut (α-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 of
Research Paper
Neutrosophic sets and their variants
SUNDAY ADESINA ADEBISI; Florentin Smarandache
Abstract
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 ...
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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.
Research Paper
Neutrosophic sets and their variants
Sunday Adesina Adebisi; Florentin Smarandache
Abstract
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 ...
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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.
Research Paper
Fuzzy sets and their variants
Khushdil Ahmad; Muhammad Waseem Asghar
Abstract
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 ...
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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.
Research Paper
Neutrosophic sets and their variants
Sarannya Kumari R
Abstract
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 ...
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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.
Review Paper
Fuzzy sets and their variants
Sivasankar S
Abstract
In communication networks, strong connectivity between nodes are critical. The failure of strong connectivity between nodes may jeopardize the network’s stability. In fuzzy graphs, various dominating sets using strong edges are identified to avoid network stability. In this paper, the concept of ...
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In communication networks, strong connectivity between nodes are critical. The failure of strong connectivity between nodes may jeopardize the network’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 γ_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.
Research Paper
Picture fuzzy sets and their variants
Amal Kumar Adak; Manish Kumar Gunjan; N K Agarwal
Abstract
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 ...
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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.
Research Paper
Type-2 fuzzy sets and their variants
Ini John Umoeka; Veronica Neekay Akwukwuma
Abstract
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 ...
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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.
Research Paper
Cubic sets and their variants
Surya M; Muralikrishna Prakasam; Edalatpanah Seyyed Ahmad; Ramin Goudarzi Karim
Abstract
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. ...
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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.
Research Paper
L-fuzzy sets and their variants
Vishnu Narayan Mishra; Tarun Kumar; Mukesh Kumar Sharma; Laxmi Rathour
Abstract
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 “Pythagorean fuzzy subgroups” and “Fermatean fuzzy subgroups”, along with their properties.As ...
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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 “Pythagorean fuzzy subgroups” and “Fermatean fuzzy subgroups”, 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“Pythagorean fuzzy subgroups” and “Fermatean fuzzy subgroups”, we have the standard properties “min” and “max” properties for membership and non-membership functions respectively. But in this present work, we gave a theory for the “min” with T ̃-norm and “max” 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.
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It should be noted that Journal of Fuzzy Extension & Applications (JFEA) has a Memorandum Of Understanding (MOU) with Neutrosophic Science International Association (NSIA).)
