Above are papers related to the following paper: [Paper_ID] Paper #1125993. 	[Title] Defining and Combining Symmetric and Asymmetric Similarity Measures [Abstract] In this paper, we present a framework for the definition of similarity measures using lattice-valued functions. We show their strengths (particularly for combining similarity measures). Then we investigate a particular instantiation of the framework, in which sets are used both to represent objects and to denote degrees of similarity. The paper con cludes by suggesting some generalisations of the findings. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1481. 	[Title] (1994); Case-Based Reasoning: Foundational Issues, Methodological Variations, and System Approaches. Case-Based Reasoning: Foundational Issues, Methodological [Abstract] Case-based reasoning is a recent approach to problem solving and learning that has got a lot of attention over the last few years. Originating in the US, the basic idea and underlying theories have spread to other continents, and we are now within a period of highly active research in case-based reasoning in Europe, as well. This paper gives an overview of the foundational issues related to case-based reasoning, describes some of the leading methodological approaches within the field, and exemplifies the current state through pointers to some systems. Initially, a general framework is defined, to which the subsequent descriptions and discussions will refer. The framework is influenced by recent methodologies for knowledge level descriptions of intelligent systems. The methods for case retrieval, reuse, solution testing, and learning are summarized, and their actual realization is discussed in the light of a few example systems that represent different CBR approaches. We also discuss the role of case-based methods as one type of reasoning and learning method within an integrated system architecture. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #521269. 	[Title] Similarity Metrics: A Formal Unification of Cardinal and Non-Cardinal Similarity Measures [Abstract] In [9] we introduced a formal framework for constructing ordinal similarity measures, and suggested how this might also be applied to cardinal measures. In this paper we will place this approach in a more general framework, called similarity metrics. In this framework, ordinal similarity metrics (where comparison returns a boolean value) can be combined with cardinal metrics (returning a numeric value) and, indeed, with metrics returning values of other types, to produce new metrics. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #521207. 	[Title] A Formal Analysis of Case Base Retrieval [Abstract] Case based systems typically retrieve cases from the case base by applying similarity measures. The measures are usually constructed in an ad hoc manner. This report presents a toolbox for the systematic construction of similarity measures. In addition to paving the way to a design methodology for similarity measures, this systematic approach facilitates the identification of opportunities for parallelisation in case base retrieval. Please summarise all the given information.

Paper #1125993 has the title `Defining and Combining Symmetric and Asymmetric Similarity Measures  
` and the abstract `In this paper, we present a framework for the definition of similarity measures using lattice-valued functions. We show their strengths (particularly for combining similarity measures). Then we investigate a particular instantiation of the framework, in which sets are used both to represent objects and to denote degrees of similarity. The paper con cludes by suggesting some generalisations of the findings. 
`.
Question: Which category should Paper #1125993 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].


Paper #1125993 has the title `Defining and Combining Symmetric and Asymmetric Similarity Measures  
` and the abstract `In this paper, we present a framework for the definition of similarity measures using lattice-valued functions. We show their strengths (particularly for combining similarity measures). Then we investigate a particular instantiation of the framework, in which sets are used both to represent objects and to denote degrees of similarity. The paper con cludes by suggesting some generalisations of the findings. 
`.
Question: Which category should Paper #1125993 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].

This paper should be classified into: Case_Based