Fuzzy Reliability Appraisal Using Interval-Valued Intuitionistic Hesitant Fuzzy Element and Score Function

2021 ◽  
pp. 2140005
Author(s):  
Deepak Kumar ◽  
S. B. Singh
Keyword(s):  
Score Function ◽  
Parallel Structure ◽  
Complex Structures ◽  
Bridge Structure ◽  
Fuzzy Reliability ◽  
Numerical Illustration ◽  
Advanced Technique ◽  
Fuzzy Environment ◽  
Unit Component ◽  
Interval Valued

Here, we appraise the reliability for numerous complex structures (series structure, parallel structure and bridge structure) using accuracy and score function under fuzzy environment. The main focus of this effort is to address an advanced technique for fuzzy reliability evaluation of various complex systems having different arrangements by treating reliability of the unit/component as an interval valued intuitionistic hesitant fuzzy element. This technique helps to handle uncertainty and hesitancy in multi-attribute group decision-making related issues, specially when information occurs in interval form in fuzzy set. A numerical illustration is also included to demonstrate the proposed technique.

scholarly journals Some Novel Geometric Aggregation Operators of Spherical Cubic Fuzzy Information with Application

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Zafar Ullah ◽  
Huma Bashir ◽  
Rukhshanda Anjum ◽  
Mabrook Al-Rakhami ◽  
Suheer Al-Hadhrami ◽  
...  
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
Score Function ◽  
Membership Degree ◽  
Fuzzy Information ◽  
Numerical Illustration ◽  
Decision Making Processes ◽  
Risks Factors ◽  
Excellent Tool ◽  
Interval Valued

Technology is quickly evolving and becoming part of our lives. Life has become better and easier due to the technologies. Although it has lots of benefits, it also brings serious risks and threats, known as cyberattacks, which are neutralized by cybersecurities. Since spherical fuzzy sets (SFSs) and interval-valued SFS (IVSFS) are an excellent tool in coping with uncertainty and fuzziness, the current study discusses the idea of spherical cubic FSs (SCFSs). These sets are characterized by three mappings known as membership degree, neutral degree, and nonmembership degree. Each of these degrees is spherical cubic fuzzy numbers (SCFNs) such that the summation of their squares does not exceed one. The score function and accuracy function are presented for the comparison of SCFNs. Moreover, the spherical cubic fuzzy weighted geometric (SCFWG) operators and SCF ordered weighted geometric (SCFOWG) operators are established for determining the distance between two SCFNs. Furthermore, some operational rules of the proposed operators are analyzed and multiattribute decision-making (MADM) approach based on these operators is presented. These methods are applied to make the best decision on the basis of risks factors as a numerical illustration. Additionally, the comparison of the proposed method with the existing methods is carried out; since the proposed methods and operators are the generalizations of existing methods, they provide more general, exact, and accurate results. Finally, for the legitimacy, practicality, and usefulness of the decision-making processes, a detailed illustration is given.

Fuzzy System Reliability Using Hesitant Fuzzy Element and Score Function

2021 ◽  
pp. 209-221
Author(s):  
Deepak Kumar ◽  
S. B. Singh ◽  
Anita Kumari
Keyword(s):  
Optimization Problems ◽  
Score Function ◽  
Hesitant Fuzzy Set ◽  
Reliability Engineering ◽  
Fuzzy Reliability ◽  
Fuzzy Environment ◽  
Reliability Modelling ◽  
Series Configuration ◽  
A New Technique ◽  
Parallel Configuration

The present work introduces a new technique for analyzing the fuzzy reliability of a system stem under hesitant fuzzy environment where the reliability of a component/unit of a system is represented by hesitant fuzzy element (HFE). In this study, the authors evaluate the fuzzy reliability for some complex systems (series configuration, parallel configuration, and bridge configuration) using score function which is very useful in reliability modelling (especially in decision making, risk analysis, and optimization problems). Reliability modelling under hesitant situations plays a key role in the reliability engineering field. The score function used in this study is helpful for a simple comparison between reliabilities of any two components as form of HFEs. Hesitancy is the most common problem in human behaviour, for which hesitant fuzzy set can be considered as a useful tool allowing several possible degrees of membership of an element to a set. Additionally, a numerical example is taken for demonstration of the present technique.

Multi-Attribute Decision Making Method Based on the Satisfaction under Interval-Valued Intuitionistic Fuzzy Environment

2014 ◽  
Vol 631-632 ◽  
pp. 1253-1256
Author(s):  
Mei Gui ◽  
Yue Lin Huang
Keyword(s):  
Decision Making ◽  
Ideal Point ◽  
Score Function ◽  
Weight Vector ◽  
Satisfaction Function ◽  
Attribute Weights ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Multi Attribute Decision Making ◽  
Interval Valued

In this paper, it discussed multi-attribute decision making (MADM) problems in which the information about attribute weights is incomplete and decision-making information is characterized by interval-valued intuitionistic fuzzy number (IVIFNs), decision-making method is proposed based on the satisfaction. First, we define positive and negative ideal point of the comprehensive attribute values and satisfaction function, and make use of satisfaction function to establish a multi-objective optimization model, apply this model to determine the attribute weight vector, calculate the comprehensive attribute values, rank the alternatives according to the score function and precise function of the comprehensive attribute values. Finally, the examples are given to show that the method is reasonable and effective.

Multi-criteria decision-making algorithm based on aggregation operators under the complex interval-valued q-rung orthopair uncertain linguistic information

2021 ◽  
pp. 1-30
Author(s):  
Harish Garg ◽  
Zeeshan Ali ◽  
Zaoli Yang ◽  
Tahir Mahmood ◽  
Sultan Aljahdali
Keyword(s):  
Decision Making ◽  
Brain Tumors ◽  
Score Function ◽  
Aggregation Operators ◽  
Multi Criteria Decision Making ◽  
Linguistic Features ◽  
Interval Numbers ◽  
Fundamental Properties ◽  
Interval Valued

The paper aims to present a concept of a Complex interval-valued q-rung orthopair uncertain linguistic set (CIVQROULS) and investigated their properties. In the presented set, the membership grades are considered in terms of the interval numbers under the complex domain while the linguistic features are added to address the uncertainties in the data. To further discuss more, we have presented the operation laws and score function for CIVQROULS. In addition to them, we present some averaging and geometric operators to aggregate the different pairs of the CIVQROULS. Some fundamental properties of the proposed operators are stated. Afterward, an algorithm for solving the decision-making problems is addressed based on the proposed operator using the CIVQROULS features. The applicability of the algorithm is demonstrated through a case study related to brain tumors and their effectiveness is compared with the existing studies.

Diagnosis of lumbar degenerative disc disease by using Lp-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator

2021 ◽  
pp. 2150063
Author(s):  
Masooma Raza Hashmi ◽  
Muhammad Riaz
Keyword(s):  
Choquet Integral ◽  
Score Function ◽  
Aggregation Operator ◽  
Disc Disease ◽  
Neutrosophic Sets ◽  
Lumbar Degenerative Disc Disease ◽  
Degenerative Disc ◽  
Ranking Index ◽  
Interval Valued

Innovative and astonishing developments in the field of spine analysis can commence with this manuscript. The lumbar disks ([Formula: see text] to [Formula: see text]) are most commonly impaired by degeneration due to their long-standing degeneration and associated strain. We investigate the indications, purposes, risk factors, and therapies of lumbar degenerated disc disease (L-DDD). We assume that the degeneration of five discs creates many effects, making it difficult to differentiate between the different types of degenerated discs and their seriousness. Since the indeterminacy and falsity portions of science or clinical diagnosis are often ignored. Due to this complexity, the reliability of the patient’s progress report cannot be calculated, nor can the period of therapy be measured. The revolutionary concept of interval-valued m-polar neutrosophic Choquet integral aggregation operator (IVmPNCIAO) is proposed to eliminate these problems. We associate generalized interval-valued m-polar neutrosophic Choquet integral aggregation operator (GIVmPNCIAO) with the statistical formulation of [Formula: see text]-spaces and use it to identify the actual kind of degenerative disc in the lumbar spine. For the classification of interval-valued m-polar neutrosophic numbers (IVMPNNs), we set the ranking index and score function. These concepts are appropriate and necessary in order to better diagnose degeneration by associating it with mathematical modeling. We construct a pre-diagnosis map based on the fuzzy interval [0,1] to classify the types of degenerative discs. We develop an algorithm by using GIVmPNCIAO based on interval-valued m-polar neutrosophic sets (IVMPNNs) to identify the degenerative disc appropriately and to choose the most exquisite treatment for the corresponding degeneration of every patient. Furthermore, we discuss the sensitivity analysis with parameter [Formula: see text] in GIVmPNCIAO to investigate the patient’s improvement record.

scholarly journals THE INTERVAL-VALUED INTUITIONISTIC FUZZY GEOMETRIC CHOQUET AGGREGATION OPERATOR BASED ON THE GENERALIZED BANZHAF INDEX AND 2-ADDITIVE MEASURE

2015 ◽  
Vol 21 (2) ◽  
pp. 186-215 ◽  
Author(s):  
Fanyong MENG ◽  
Qiang ZHANG ◽  
Jiaquan ZHAN
Keyword(s):  
Geometric Mean ◽  
Fuzzy Measure ◽  
Entropy Measure ◽  
Additive Measure ◽  
Banzhaf Index ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Operational Laws ◽  
Additive Measures ◽  
Interval Valued

Based on the operational laws on interval-valued intuitionistic fuzzy sets, the generalized Banzhaf interval-valued intuitionistic fuzzy geometric Choquet (GBIVIFGC) operator is proposed, which is also an interval-valued intuitionistic fuzzy value. It is worth pointing out that the GBIVIFGC operator can be seen as an extension of some geometric mean operators. Since the fuzzy measure is defined on the power set, it makes the problem exponentially complex. In order to overall reflect the interaction among elements and reduce the complexity of solving a fuzzy measure, we further introduce the GBIVIFGC operator w.r.t. 2-additive measures. Furthermore, if the information about weights of experts and attributes is incompletely known, the models of obtaining the optimal 2-additive measures on criteria set and expert set are given by using the introduced cross entropy measure and the Banzhaf index. Finally, an approach to pattern recognition and multi-criteria group decision making under interval-valued intuitionistic fuzzy environment is developed, respectively.

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