Intuitionistic Fuzzy Analysis of Variance of Movie Ticket Sales

Traneva, Velichka; Tranev, Stoyan

doi:10.1007/978-3-030-51156-2_43

Cited by 11 publications

(11 citation statements)

References 12 publications

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“…Expert assessments are uncertain due to galloping inflation and the existing pandemic. The data values are transformed into TIFPs as demonstrated in [3], [20]. The TIFP {ev k i ,c j ,d s ,t f } presents the degrees of perception (the positive evaluation of the d s -th expert for the k i -th candidate by the c j -th criterion divided by the (maximum-minimum) evaluation) and non-perception (the negative evaluation of the d s -th expert for the k i -th candidate by the c j -th criterion divided by the (maximum-minimum) evaluation) of the d s -th expert for the k i -th candidate by the c j -th criterion at a particular moment t f .…”

Section: A An Optimal Temporal Intuitionistic Fuzzy Algorithm For Ass...mentioning

confidence: 99%

Software Implementation of the Optimal Temporal Intuitionistic Fuzzy Algorithm for Franchisee Selection

Traneva¹,

Mavrov²,

Tranev³

2022

Annals of Computer Science and Information Systems

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The selection of the most suitable franchisee applicant in an uncertain environment in a particular moment of time is a key decision for a franchisor and the success of a franchising business. In this work, for the first time, we describe a problem for choosing the optimal candidate for the franchise chain and algorithm for a solution in terms of temporal intuitionistic fuzzy pairs and index matrices as a means for data analysis in uncertain conditions over time. We also use our software utility to demonstrate the proposed algorithm and to apply the decision support approach to a franchisee selection for the largest fast food restaurant chain in Bulgaria.

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Section: A An Optimal Temporal Intuitionistic Fuzzy Algorithm For Ass...mentioning

confidence: 99%

Software Implementation of the Optimal Temporal Intuitionistic Fuzzy Algorithm for Franchisee Selection

Traneva¹,

Mavrov²,

Tranev³

2022

Annals of Computer Science and Information Systems

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“…In [31] a 2-D IFANOVA without replication is proposed, which uses the concepts of IMs and fuzzy logic. We describe this analysis shortly using pseudocode.…”

Section: Intuitionistic Fuzzy Two-way Anova Over Covid-19 Cases Imentioning

confidence: 99%

“…Two-way IFANOVA by converting IFSs to fuzzy sets was proposed in [8]. To analyze vaguer numbers, such as those discussed here, we have extended the classical ANOVA [4] to the one-way and the two-way IFANOVA without replication (see [31], [32], [33]), which can work over Intuitionistic fuzzy (IF) data, based on Intuitionistic fuzzy sets (IFSs) and Index matrices (IMs).…”

Section: Introductionmentioning

confidence: 99%

“…Section 3 discusses the classical two-factor (2-F) ANOVA and its application over the actual data on COVID-19 cases. In Section 4, we describe the algorithm of 2-D IFANOVA [31] and its software realization, then use it to investigate the effect of the factors "density" and "climate zone". The results obtained from IFANOVA are compared with those from the classical ANOVA.…”

Section: Introductionmentioning

confidence: 99%

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Fuzzy Two-Factor Analysis of COVID-19 Cases in Europe

Traneva

Mavrov

Tranev

2020

2020 IEEE 10th International Conference on Intelligent Systems (IS)

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In this paper we apply an intuitionistic fuzzy twofactor ANOVA (2-D IFANOVA), based on the concepts of intuitionistic fuzzy sets (IFSs) and index matrices (IMs), over a unique dataset of daily COVID-19 cases up to 24 June 2020 to explore how the number of COVID-19 cases depends on the "density" and "climate zone" factors for the continent of Europe. In the source data, some information may be missing, unclear or imprecise. To deal with the uncertainty in the data, we apply Intuitionistic fuzzy logic. We also present a new software utility, which performs 2-D IFANOVA by using an implementation of Index matrices. Finally, a comparative analysis of the results obtained by the classical ANOVA and IFANOVA is performed.

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“…Twoway IFANOVA was described in [16] by transforming IFSs to fuzzy sets. In our previous studies [30,32,35], we have extended classical ANOVA [12] to be able to apply on intuitionistic fuzzy numbers and proposed 1-D IFANOVA and nonreplicated 2-D IFANOVA, based on the apparatuses of IFSs [2] and IMs [3]. Then we have created two command-line utilities "Test1" and "Test2", which perform respectively one-way [33] and two-way IFANOVA [34].…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy ANOVA for COVID-19 Cases in Asia by Density and Climate Factors

Traneva

Tranev

2021

Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation

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Analysis of variance (ANOVA), proposed by Fisher, is a statistical tool to determine the influence of factors on a data set. When a data set occurs in an uncertain environment, intuitionistic fuzzy logic is a means of dealing with this imprecision. Compared to fuzzy data, intuitionistic fuzzy (IF) data also has a hesitation degree. In our previous publications in 2020, we have proposed for the first time one-way (1-D IFANOVA) and nonreplicated two-way (2-D IFANOVA) intuitionistic fuzzy ANOVA, combining classical variational analysis with possibilities for modeling of Index Matrices (IMs) and Intuitionistic Fuzzy Sets (IFSs).The pandemic caused by Coronavirus disease 2019 (COVID-19) first occured in China at the end of 2019. The recent events related to the COVID-19 pandemic have posed many questions regarding the disease's spread rate, including whether various factors may or may not have an influence upon it. The present work focuses on evaluating the rate of COVID-19 in Asia by applying 2-D IFANOVA on the IF dataset of daily cases for the period from February 1, 2020 to January 28, 2021. A command-line utility "Test2", which performs 2-D IFANOVA, will explore the impact of "density" and "climate zones" factors on the spread of COVID-19 in Asia. We will also compare the results obtained from traditional ANOVA over the same data set and from 2-D IFANOVA.

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Intuitionistic Fuzzy Analysis of Variance of Movie Ticket Sales

Cited by 11 publications

References 12 publications

Software Implementation of the Optimal Temporal Intuitionistic Fuzzy Algorithm for Franchisee Selection

Software Implementation of the Optimal Temporal Intuitionistic Fuzzy Algorithm for Franchisee Selection

Fuzzy Two-Factor Analysis of COVID-19 Cases in Europe

Intuitionistic Fuzzy ANOVA for COVID-19 Cases in Asia by Density and Climate Factors

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