Using Fuzzy Logic to Analyze the Spatial Distribution of Pottery in Unstratified Archaeological Sites: The Case of the Pobedim Hillfort (Slovakia)

The aim of this article is to analyze the spatial clustering of pottery finds based on their occurrence at different depths in the Pobedim hillfort archaeological site (Western Slovakia), without reference to stratigraphic data. Two fuzzy sets methods (fuzzy linear function and fuzzy gamma operator) were used to analyze the distribution of Slavic pottery from the 9th century AD at six sectors (I–VI) located at the acropolis of the Pobedim hillfort in terms of their occurrence at different depths, their quantity at different depths, and the number of excavation pits. Using the mentioned fuzzy set methods, significant clusters of pottery were found in two sectors of the Pobedim site (sectors I and II). The results were compared with those obtained in previous research at this site, where the method of spatial autocorrelation was used. It was found that the most significant squares identified with the use of fuzzy set theory coincide with 14 squares where autocorrelation also found significant concentrations of pottery. However, the most significant squares identified by fuzzy methods (in the range 0.7–1) in all sectors of the Pobedim hillfort were 16% less than those identified by the positive spatial autocorrelation.

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PENERAPAN METODE FUZZY SUGENO UNTUK MENENTUKAN HARGA JUAL SEPEDA MOTOR BEKAS

E-Jurnal Matematika ◽

10.24843/mtk.2016.v05.i04.p138 ◽

2016 ◽

Vol 5 (4) ◽

pp. 176

Author(s):

AMI HILDA AGUSTIN ◽

G. K. GANDHIADI ◽

TJOKORDA BAGUS OKA

Keyword(s):

Fuzzy Logic ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Fuzzy Inference ◽

Percentage Error ◽

Selling Price ◽

Membership Degree ◽

Inference System ◽

Fuzzy Methods

Fuzzy logic is a way to map an input space into an output space. The basic of fuzzy logic is fuzzy set theory. In the fuzzy set theory, the role of membership degree is important to determine the presence of elements in a set. Membership degree is the fundamental feature of reasoning in fuzzy logic. There are several methods that are often used in solving fuzzy inference system, one of them is fuzzy Sugeno method. The aim of this research is applications of fuzzy methods is to forecast to determine the selling price of used motorcycles. In determining the selling price of used motorcycles, there are several things that need to be considered, namely : the production year of the motorcycles, the physical condition of the motorcycles, the origin of the license plates, and the purchase price of the motorcycles. The calculation can be done by using Matlab program. The result obtained were then tested using the Mean Absolute Percentage Error (MAPE) by calculating difference between the selling price of dealer minus the selling price of fuzzy Sugeno then divided by the selling price of dealer. From the test result, MAPE value obtained was 5,64% . This indicates that error rate below 10%, so we can say the result of these calculation is considerably accurate.

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A Review on Fuzzy Control Charts for Monitoring Attribute Data

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.159.23 ◽

2012 ◽

Vol 159 ◽

pp. 23-28 ◽

Cited By ~ 4

Author(s):

Seyed Mojtaba Zabihinpour Jahromi ◽

Abbas Saghaei ◽

Mohd Khairol Anuvar Mohd Ariffin

Keyword(s):

Fuzzy Control ◽

Statistical Method ◽

Statistical Methods ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Control Charts ◽

Average Run Length ◽

Attribute Data ◽

Fuzzy Methods

Up to now, several methods have been proposed for monitoring processes with attribute data. These methods can be categorized into two major group; statistical methods and fuzzy methods. In this paper current fuzzy methods are introduced and the performance of fuzzy methods and statistical methods are compared together based on the Average Run Length (ARL). The comparison shows that the statistical method has the best performance. We show the necessity of using fuzzy method in case of attribute data. Then the critiques towards fuzzy methods are reviewed which show the usage of fuzzy set theory in these methods have some restriction. As a result we indicate a study gap about the usage of fuzzy set theory for monitoring processes with attribute data and at the end some guideline for the next study are proposed.

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Why Fuzzy Set Theory is Useful in Data Mining

Successes and New Directions in Data Mining ◽

10.4018/978-1-59904-645-7.ch001 ◽

2008 ◽

pp. 1-16 ◽

Cited By ~ 1

Author(s):

Eyke Hüllermeier

Keyword(s):

Data Mining ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Fuzzy Data ◽

Critical Importance ◽

Standard Methods ◽

Fuzzy Methods ◽

Mining Methods ◽

Application Fields

In recent years, several extensions of data mining and knowledge discovery methods have been developed on the basis of fuzzy set theory. Corresponding fuzzy data mining methods exhibit some potential advantages over standard methods, notably the following: Since many patterns of interest are inherently vague, fuzzy approaches allow for modeling them in a more adequate way and thus enable the discovery of patterns that would otherwise remain hidden. Related to this, fuzzy methods are often more robust toward a certain amount of variability or noise in the data, a point of critical importance in many practical application fields. This chapter highlights the aforementioned advantages of fuzzy approaches in the context of exemplary data mining methods, but also points out some additional complications that can be caused by fuzzy extensions.

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Mapping and Monitoring of the Land Use/Cover Changes in the Wider Area of ltanos, Crete, Using Very High Resolution EO Imagery With Specific Interest in Archaeological Sites

10.31219/osf.io/3vrth ◽

2019 ◽

Cited By ~ 1

Author(s):

Sawyer Reid stippa ◽

George Petropoulos ◽

Leonidas Toulios ◽

Prashant K. Srivastava

Keyword(s):

High Resolution ◽

Spatial Resolution ◽

Satellite Images ◽

Archaeological Site ◽

Digital Photography ◽

Archaeological Sites ◽

Large Area ◽

High Resolution Imagery ◽

Site Mapping ◽

Rule Sets

Archaeological site mapping is important for both understanding the history as well as protecting them from excavation during the developmental activities. As archaeological sites generally spread over a large area, use of high spatial resolution remote sensing imagery is becoming increasingly applicable in the world. The main objective of this study was to map the land cover of the Itanos area of Crete and of its changes, with specific focus on the detection of the landscape’s archaeological features. Six satellite images were acquired from the Pleiades and WorldView-2 satellites over a period of 3 years. In addition, digital photography of two known archaeological sites was used for validation. An Object Based Image Analysis (OBIA) classification was subsequently developed using the five acquired satellite images. Two rule-sets were created, one using the standard four bands which both satellites have and another for the two WorldView-2 images their four extra bands included. Validation of the thematic maps produced from the classification scenarios confirmed a difference in accuracy amongst the five images. Comparing the results of a 4-band rule-set versus the 8-band showed a slight increase in classification accuracy using extra bands. The resultant classifications showed a good level of accuracy exceeding 70%. Yet, separating the archaeological sites from the open spaces with little or no vegetation proved challenging. This was mainly due to the high spectral similarity between rocks and the archaeological ruins. The satellite data spatial resolution allowed for the accuracy in defining larger archaeological sites, but still was a difficulty in distinguishing smaller areas of interest. The digital photography data provided a very good 3D representation for the archaeological sites, assisting as well in validating the satellite-derived classification maps. All in all, our study provided further evidence that use of high resolution imagery may allow for archaeological sites to be located, but only where they are of a suitable size archaeological features.

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The evaluation of higher vocational education level based on fuzzy set theory

Theoretical Mathematics Study ◽

10.35534/tms.0101003c ◽

2019 ◽

Vol 1 (1) ◽

pp. 14-21

Author(s):

Li Gengxi

Keyword(s):

Vocational Education ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Education Level ◽

Higher Vocational Education

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Multidimensional Poverty, Approach by the Fuzzy Set Theory: The Case of Soubre and Gueyo in Cote DDIvoire

SSRN Electronic Journal ◽

10.2139/ssrn.2550051 ◽

2015 ◽

Author(s):

Arnold Fottsoh Fokam

Keyword(s):

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Multidimensional Poverty

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The Archaeological Record

10.1093/oso/9780199474660.003.0005 ◽

2017 ◽

Author(s):

Manjil Hazarika

Keyword(s):

Archaeological Site ◽

Northeast India ◽

Site Formation ◽

Archaeological Sites ◽

Site Formation Processes ◽

Formation Processes ◽

Site Structure ◽

Reserve Forest ◽

Ethnographic Data ◽

Ways Of Life

This chapter elaborates the data and results of the explorations conducted in the Garbhanga Reserve Forest. The area has been intensively surveyed for the location of potential archaeological sites and the collection of ethnographic data in order to draw direct historical analogies. An ‘area-approach’ study has been conducted in order to formulate a general model for archaeological site structure, locations, geomorphic situations, and site formation processes that can be used for archaeological study in the hilly landscape of Northeast India. Present-day agricultural implements have been analysed and compared with Neolithic implements in order to reconstruct ancient farming culture by way of undertaking systematic study of modern peasant ways of life in the study area. The ideological significance of stone artefacts as ‘thunderstone’ in Northeast India and among the Karbis has also been discussed.

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