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Evaluating New Varieties of Wheat with the Application of Vague Optimization Methods [chapter]

Hongxu Wang, FuJin Zhang, Yunsheng Xu
2012 IFIP Advances in Information and Communication Technology  
to obtain the new wheat varieties based on numerical similarity measures and to propose the similarity measures formula between the Vague sets.  ...  the ideal set of new wheat varieties ; ○ 4 the construction of Vague environment to collect all varieties of Vague sets; ○ 5 the Vague optimization: to calculate similarity measures between Vague sets  ...  The new similarity measures between Vague values If Lemma [4] is Vague similarity measures between the new Vague sets of metrics From the definition of similarity measures between Vague Sets and  ... 
doi:10.1007/978-3-642-27278-3_13 fatcat:qzp72fit7zgvrew54ty7ukgwye

A New Approach to Entropy and Similarity Measure of Vague Soft Sets

Dan Hu, Zhiyong Hong, Yong Wang
2014 The Scientific World Journal  
Furthermore, we present a new category of similarity measures and entropies for vague soft sets.  ...  We focus our discussion on the uncertainty measures of vague soft sets. We propose axiomatic definitions of similarity measure and entropy for vague soft sets.  ...  Acknowledgments This work has been partially supported by the National Natural Science Foundation of China (Grant nos. 61372187, 61175044) and The Program of Education Office of Sichuan Province (Grant  ... 
doi:10.1155/2014/610125 pmid:25152918 pmcid:PMC4134822 fatcat:vrqv4perr5cydnsncupxy3io5a

Managing Merged Data by Vague Functional Dependencies [chapter]

An Lu, Wilfred Ng
2004 Lecture Notes in Computer Science  
In this paper we propose a new similarity measure between vague sets and apply vague logic in a relational database environment with the objective of capturing the vagueness of the data.  ...  We then present a set of sound and complete inference rules.  ...  Similarity Measure Between Two Vague Sets We generalize the similarity measure to two given vague sets. Definition 11.  ... 
doi:10.1007/978-3-540-30464-7_21 fatcat:eqovr6hi7fe4nirxf32oy4rvhq

Similarity, Approximations and Vagueness [chapter]

Patrick Doherty, Witold Łukaszewicz, Andrzej Szałas
2005 Lecture Notes in Computer Science  
In this paper, we generalize and apply the idea of similarity and tolerance spaces [2,3,4,5], a means of constructing approximate and vague concepts from such spaces and an explicit way to distinguish  ...  between an agent's objective and subjective states.  ...  Note that a radar may not be able to measure the speed of some cars.  ... 
doi:10.1007/11548669_56 fatcat:g3j5gzmgane2xe7zytweb4prm4

A Support Vector Classifier Based on Vague Similarity Measure

Yong Zhang, Jing Cai
2013 Mathematical Problems in Engineering  
This paper proposes a support vector classifer based on vague sigmoid kernel and its similarity measure.  ...  The proposed method uses the characteristic of vague set, and replaces the traditional inner product with vague similarity measure between training samples.  ...  [17] analyzed and summarized several similarity measures between vague sets. Dou et al.  ... 
doi:10.1155/2013/928054 fatcat:sna6k5zxufe5lj7k6sfkcq24km

Modeling the Vagueness of Areal Geographic Objects: A Categorization System

Yu Liu, Yihong Yuan, Song Gao
2019 ISPRS International Journal of Geo-Information  
We then established a categorization system to formalize the semantic differences between vague objects using the fuzzy set theory.  ...  Based on the assumption that a vague object can be viewed as the conceptualization of a field, we defined five categories of vague objects: direct field-cutting objects, focal operation-based field-cutting  ...  A fuzzy set on a classical set X can be formally defined as: Ã = {(x, µ A (x))|x ∈ X} (1) where µ A (x) is the membership function that measures the degree to which an element x belongs to set X.  ... 
doi:10.3390/ijgi8070306 fatcat:ys2mvpdgf5g55hi6w6wctcp74u

Vague Sets or Intuitionistic Fuzzy Sets for Handling Vague Data: Which One Is Better? [chapter]

An Lu, Wilfred Ng
2005 Lecture Notes in Computer Science  
Essentially, in a Fuzzy Set (FS) each element is associated with a point-value selected from the unit interval [0,1], which is termed the grade of membership in the set.  ...  Although VSQL is a minimal extension to illustrate its usages, VSQL allows users to formulate a wide range of queries that occur in different modes of interaction between vague data and queries.  ...  The degree of similar equality (S EQ ) of vague relations defined below can be used as a vague similarity measure to compare elements of a given domain.  ... 
doi:10.1007/11568322_26 fatcat:syfyow3cvfawvlqhvqkrdhvxkq

A New Functional Dependency in a Vague Relational Database Model

Jaydev Mishra, Sharmistha Ghosh
2012 International Journal of Computer Applications  
similarity measure of vague sets.  ...  General Terms Vague Database Design Keywords Vague set, similarity measure of vague sets,  -vfd, partial  -vfd, vague key.  ...  [12] have proposed a vague relational model based on vague set theory and a new similarity measure (SE) between vague sets. They have also extended and studied the vague relational algebra in ref.  ... 
doi:10.5120/4841-7104 fatcat:jrzpri6dv5fp3jfkvwdkm66oam

Accommodating imprecision in database systems

Amihai Motro
1990 SIGMOD record  
Most database systems are designed under assumptions of precision of both the data stored in their databases, and the requests to retrieve data.  ...  In reality, however, these assumptions are often invalid, and in recent years considerable attention has been given to issues of imprecision in database systems.  ...  A data metric defines the distance between every two elements of a domain; for example, in a personnel database there may be metrics to measure distances between titles, between salaries, between qualifications  ... 
doi:10.1145/122058.122066 fatcat:rrkyztt6xjd2tdfrsmoidqpi4m

Vague Sets Security Measure for Steganographic System Based on High-Order Markov Model

Chun-Juan Ouyang, Ming Leng, Jie-Wu Xia, Huan Liu
2017 Security and Communication Networks  
This security measure evaluates the similarity between two vague sets of cover images and stego images in terms of n-order Markov chain to capture the interpixel correlation.  ...  Here a steganographic security measure is proposed.  ...  Conclusions Vague sets similarity measure is a simple yet effective tool for measuring the similarity between two vague sets.  ... 
doi:10.1155/2017/1790268 fatcat:bc3f6r4xenclledq7asb4uv6mq

Solving Consensus Measure of Ambiguous GDM Problems Using Vague Sets – An Application of Risk Assessment [chapter]

Chi-Chun Lo, Ping Wang, Kuo-Ming Chao
2006 Lecture Notes in Computer Science  
In this paper, we present a new method for consemsus mearure in the risk assessment process by relaxing many assumptions on existing hesitation situations A new similuriw measure of vague sets is introduced  ...  The proposed method improves the sofr consensus method proposed by Kacprqk and Fedrizzi and analyzes the variation trend of group c o n s e m using similar@ meusures of vague sets and consensus index.  ...  ( A ' , B ' ) between the vague sets A' and 8' is given by Similarly, the agreement matrix of all experts based on the similarity measure of the vague sets can be expressed as Eq. (6).  ... 
doi:10.1007/11686699_58 fatcat:p4xa73gkyzct3nmegxyfo5lrpe

Similarity Measure and Entropy of Fuzzy Soft Sets

Zhicai Liu, Keyun Qin, Zheng Pei
2014 The Scientific World Journal  
The axioms for similarity measure and entropy are proposed. A new category of similarity measures and entropies is presented based on fuzzy equivalence.  ...  Our approach is general in the sense that by using different fuzzy equivalences one gets different similarity measures and entropies.  ...  Qu [45] proposed a similarity measure for vague soft sets as follows: (( , ) , ( , )) = ∑ =1 (( , ) , ( , )) , (11) We note that this similarity measure is a special case of 2 (( , ), ( , )) if = =  ... 
doi:10.1155/2014/161607 pmid:25028672 pmcid:PMC4084604 fatcat:2pi5yd76i5hardfgexculrnqsq

The Approximate Numbers System and the treatment of vagueness in conceptual spaces [chapter]

Aleksander Gemel, Paula Quinon
2015 Cognition, Meaning and Action. Lodz-Lund Studies in Cognitive Science  
In other words, the distinction between a 10-element set and a 20-element set is as difficult to make as the distinction between 20-and 40-element sets, since in both cases the ratio of the amount of elements  ...  Let us take two pairs of sets: the first pair consisting of a 10-element set and a 20-element set, and the other consisting of a 200-element set and a 210-element set.  ... 
doi:10.18778/7969-759-5.06 fatcat:kunpeba3xnfrpgadhbhnkuu5pq

Uncertain Query Processing using Vague Set or Fuzzy Set: Which One Is Better?

Jaydev Mishra, Sharmistha Ghosh
2014 International Journal of Computers Communications & Control  
Next, a similarity measure is used to get each tuples similarity value with the uncertain query for both fuzzy and vague sets.  ...  In this paper we attempt to make a theoretical comparison between fuzzy sets and vague sets in processing uncertain queries.  ...  After that, as before, a similarity measure formula is used to measure the similarity between each vague representation of a domain value and vague data given in the query.  ... 
doi:10.15837/ijccc.2014.6.500 fatcat:unytvx4c4zgghdhvtvmolcaphq

Patterns on data described by vague limits, vague colimits and vague commutativity [article]

Carlos Leandro, Luís Monteiro
2016 arXiv   pre-print
The aim of our work is to study the possibility of extending these algebraic frameworks to the specification of vague structures and to the description of vague patterns on data.  ...  , data transformation processes and data models.  ...  Different similarity measures can reflect different facets of the data, and therefore, two elements can be determined to be very similar by one measure and very different by another measure.  ... 
arXiv:1604.03098v1 fatcat:sa6gdchkg5cdjf3euvy36srudi
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