Reliability analysis of turbine unit using Intuitionistic Fuzzy Lambda-Tau approach

Panchal, Dilbagh

doi:10.31181/rme040117042023p

Cited by 18 publications

(3 citation statements)

References 34 publications

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“…The sum of MG and NMG lies in [0, 1] i.e., κ¸(τ ) + ν(τ ) ∈ [0, 1]. A lot of researchers utilized the theory of IFS and FS to understand the methodologies of our research works [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material

Hussain,

Wang,

Ullah

et al. 2023

Complex Intell. Syst.

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Aggregation operators (AOs) are utilized to overcome the effects of attributes under some specific degree of weight in the decision-making (DM) process. The AOs have a large capacity to deal with uncertain and unpredictable information in multi-attribute decision-making (MADM) problems. The Hamy mean (HM) aggregation tools are well-known aggregation models, which are utilized to define correlation among different input arguments adequately. The intuitionistic fuzzy (IF) sets (IFS) can express unpredictable and vague information. The Aczel Alsina aggregation expressions are extensions of triangular norms. Recently, Aczel Alsina aggregation tools attained a lot of attentions from numerous research scholars. By inspiring the robustness and reliability of Aczel Alsina aggregation tools, we expose some appropriate operations of Aczel Alsina expressions under consideration of IF information. In this manuscript, we developed an intuitionistic fuzzy Aczel Alsina HM (IFAAHM) and an intuitionistic fuzzy Aczel Alsina weighted HM (IFAAWHM) operator. We also expressed the theory of Dual HM (DHM) tools and established a series of new approaches including intuitionistic fuzzy Aczel Alsina Dual HM (IFAADHM) and intuitionistic fuzzy Aczel Alsina weighted Dual HM (IFAAWDHM) operators. Some reliable characteristics and special cases of our derived approaches are also presented. The authors solved an application of a MADM technique under consideration of our derived approaches. To check the reliability and dependency of our derived mythologies, we gave an experimental case study to evaluate a desirable construction material based on some specific criteria of different Alternatives. To see the advantages and compatibility of our derived approaches, by comparing the results of existing approaches with the results of currently discussed AOs.

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Section: Introductionmentioning

confidence: 99%

Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material

Hussain,

Wang,

Ullah

et al. 2023

Complex Intell. Syst.

View full text Add to dashboard Cite

show abstract

“…In order to mitigate the limitations associated with FSs, Atanassov [2] initiated the paradigm of intuitionistic FSs (IFSs). This framework is designed to address situations where the necessity measure of the NMG does not necessarily originate from the MG. FSs have garnered significant attention from researchers who have examined their fundamental characteristics and illustrated their practical applications [3,4].…”

Section: Introductionmentioning

confidence: 99%

Interval-Valued p,q-Rung Orthopair Fuzzy Exponential TODIM Approach and Its Application to Green Supplier Selection

Ali,

Khan

2023

Symmetry

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An interval-valued q-rung orthopair fuzzy set (IVqrOFS) is a robust and esteemed model in managing imprecise information, utilizing a controllable parameter q≥1. Expanding its applicability, we propose a refinement to it, termed the interval-valued p,q-rung orthopair fuzzy set, denoted IVp,qrOFS. This advancement enables the handling of scenarios where varied assessment levels for membership and non-membership grades are necessary, a challenge unaddressed by existing extensions of interval-valued intuitionistic fuzzy sets. We establish the fundamental mathematical operations for the IVp,qrOFS and explore their key properties. To compare interval-valued p,q-rung orthopair fuzzy (IVp,qrOF) numbers, a novel score function is put forward and compared to the known IVqrOFS-based score functions to determine its viability. Moreover, we present IVp,qrOF aggregation operators (AOs), accompanied by rigorous proof of their essential characteristics, including boundedness, monotonicity, and symmetry. This study introduces the interaction of IVp,qrOF criteria through the inter-criteria correlation (CRITIC) approach. This method determines criteria weights based on the proposed distance measurements and the score function. The CRITIC method is integrated with the exponential TODIM approach (exp-TODIM), resulting in an innovative decision-making framework that is less susceptible to parameter fluctuations and showcases a high stability. An illustrative example of selecting a suitable supplier is provided to demonstrate the practical application of the developed exp-TODIM approach. Finally, a sensitivity analysis is conducted to exhibit the method’s stability, and a comparative analysis is performed to elucidate its strengths and advantages.

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“…The idea of fuzzy sets is extended to include intuitionistic fuzzy sets (IFSs), and Mahapatra and Roy [6] presented the notion of a triangular intuitionistic fuzzy number using this approach. The concept of IFSs has been utilized in many fields of reliability [7][8][9] and decision making [10][11][12]. Further advances are achieved by Feng [13] through the use of Minkowski score functions of intuitionistic fuzzy values and geometric ranking in a decision-making problem.…”

Section: Introductionmentioning

confidence: 99%

Statistical Fuzzy Reliability Analysis: An Explanation with Generalized Intuitionistic Fuzzy Lomax Distribution

Kalam,

Cheng,

et al. 2023

Symmetry

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To illustrate data uncertainty, intuitionistic fuzzy sets simply use membership and non-membership degrees. However, in some cases, a more complex strategy is required to deal with imprecise data. One of these techniques is generalized intuitionistic fuzzy sets (GIFSs), which provide a comprehensive framework by adding extra factors that provide a more realistic explanation for uncertainty. GIFSs contain generalized membership, non-membership, and hesitation degrees for establishing symmetry around a reference point. In this paper, we applied a generalized intuitionistic fuzzy set approach to investigate ambiguity in the parameter of the Lomax life distribution, seeking a more symmetric assessment of the reliability measurements. Several reliability measurements and associated cut sets for a novel L-R type fuzzy sets are derived after establishing the scale parameter as a generalized intuitionistic fuzzy number. Additionally, the study includes a range of reliability measurements, such as odds, hazards, reliability functions, etc., that are designed for the Lomax distribution within the framework of generalized intuitionistic fuzzy sets. These reliability measurements are an essential tool for evaluating the reliability characteristics of various types of complex systems. For the purpose of interpretation and application, the results are visually displayed and compared across different cut set values using a numerical example.

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Reliability analysis of turbine unit using Intuitionistic Fuzzy Lambda-Tau approach

Cited by 18 publications

References 34 publications

Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material

Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material

Interval-Valued p,q-Rung Orthopair Fuzzy Exponential TODIM Approach and Its Application to Green Supplier Selection

Statistical Fuzzy Reliability Analysis: An Explanation with Generalized Intuitionistic Fuzzy Lomax Distribution

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