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View merging in the presence of incompleteness and inconsistency
 Requir. Eng
, 2006
"... View merging, also called view integration, is a key problem in conceptual modeling. Large models are often constructed and accessed by manipulating individual views, but it is important to be able to consolidate a set of views to gain a unified perspective, to understand interactions between views, ..."
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Cited by 33 (10 self)
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View merging, also called view integration, is a key problem in conceptual modeling. Large models are often constructed and accessed by manipulating individual views, but it is important to be able to consolidate a set of views to gain a unified perspective, to understand interactions between views, or to perform various types of analysis. View merging is complicated by incompleteness and inconsistency: Stakeholders often have varying degrees of confidence about their statements. Their views capture different but overlapping aspects of a problem, and may have discrepancies over the terminology being used, the concepts being modeled, or how these concepts should be structured. Once views are merged, it is important to be able to trace the elements of the merged view back to their sources and to the merge assumptions related to them. In this paper, we present a framework for merging incomplete and inconsistent graphbased views. We introduce a formalism, called annotated graphs, with a builtin annotation scheme for modeling incompleteness and inconsistency. We show how structurepreserving maps can be employed to express the relationships between disparate views modeled as annotated graphs, and provide a general algorithm for merging views with arbitrary interconnections. We provide a systematic way to generate and represent the traceability information required for tracing the merged view elements back to their sources, and to the merge assumptions giving rise to the elements.
An algebraic framework for merging incomplete and inconsistent views
, 2004
"... View merging, also called view integration, is a key problem in conceptual modeling. Large models are often constructed and accessed by manipulating individual views, but it is important to be able to consolidate a set of views to gain a unified perspective, to understand interactions between views, ..."
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Cited by 16 (5 self)
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View merging, also called view integration, is a key problem in conceptual modeling. Large models are often constructed and accessed by manipulating individual views, but it is important to be able to consolidate a set of views to gain a unified perspective, to understand interactions between views, or to perform various types of endtoend analysis. View merging is complicated by incompleteness and inconsistency of views. Once views are merged, it is useful to be able to trace the elements of the merged view back to their sources. In this paper, we propose a framework for merging incomplete and inconsistent graphbased views. We introduce a formalism, called posetannotated graphs, which incorporates a systematic annotation scheme capable of modeling incompleteness and inconsistency as well as providing a builtin mechanism for ownership traceability. We show how structurepreserving maps can capture the relationships between disparate views modeled as posetannotated graphs, and provide a general algorithm for merging views with arbitrary interconnections. We use the i ∗ modeling language [26] as an example to demonstrate how our approach can be applied to existing graphbased modeling languages, especially in the domain of early Requirements Engineering. 1
Fuzzy location problems on networks
, 2004
"... Location problems concern a wide set of fields where it is usually assumed that exact data are known. However, in real applications, the location of the facility considered can be full of linguistic vagueness, that can be appropriately modelled using networks with fuzzy values. Thus fuzzy location p ..."
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Cited by 4 (0 self)
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Location problems concern a wide set of fields where it is usually assumed that exact data are known. However, in real applications, the location of the facility considered can be full of linguistic vagueness, that can be appropriately modelled using networks with fuzzy values. Thus fuzzy location problems on networks arise; this paper deals with their general formulation and the description of the ways to solve them. Namely, we show the variety of problems that can be considered in this context and, for some of them, we propose the most operative approaches for their solution.
Isomorphism on Fuzzy Graphs
 WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY 47
, 2008
"... In this paper, the order, size and degree of the nodes of the isomorphic fuzzy graphs are discussed. Isomorphism between fuzzy graphs is proved to be an equivalence relation. Some properties of self complementary and self weak complementary fuzzy graphs are discussed. ..."
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Cited by 1 (0 self)
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In this paper, the order, size and degree of the nodes of the isomorphic fuzzy graphs are discussed. Isomorphism between fuzzy graphs is proved to be an equivalence relation. Some properties of self complementary and self weak complementary fuzzy graphs are discussed.
Mathematical Model by Fuzzy Rules from Dominating Graphs
"... Abstract Mathematical models constructed by fuzzy rules applying the gradient descent method have been widely used in many designs. Adjusting the fuzzy model built for the pre processed data from a dominating graph is the another view point approach of this work. By treating the triangular membersh ..."
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Abstract Mathematical models constructed by fuzzy rules applying the gradient descent method have been widely used in many designs. Adjusting the fuzzy model built for the pre processed data from a dominating graph is the another view point approach of this work. By treating the triangular membership function as two disjoint ones mutual independence of fuzzy rules showed. In that way mathematical models constructed by fuzzy rules by applying gradient descent method with domination graphs. Index Terms Fuzzy modeling domination graphs Gradient descent method. F I.
Isomorphism on Intuitionistic Fuzzy Directed
"... Abstract Directed hypergraphs are much like standard directed graphs. In intuitionistic fuzzy directed hypergraphs, like directed graphs, standard arcs connect a single tail node to a single head node, hyperarcs connect a set of tail nodes to a set of head nodes. In this paper, the isomorphism betw ..."
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Abstract Directed hypergraphs are much like standard directed graphs. In intuitionistic fuzzy directed hypergraphs, like directed graphs, standard arcs connect a single tail node to a single head node, hyperarcs connect a set of tail nodes to a set of head nodes. In this paper, the isomorphism between two intuitionistic fuzzy directed hypergraphs is discussed. The condition for two intuitionistic fuzzy directed hypergraphs is isomorphic also discussed and some of its properties are also analyzed. Index Terms Intuitionistic fuzzy hypergraph(IFHG), intuitionistic fuzzy directed hypergraph, isomorphism, weak isomorphism, coweak isomorphism T I.
World Academy of Science, Engineering and Technology 23 2008 Isomorphism on Fuzzy Graphs A.Nagoor Gani and J.Malarvizhi
"... Abstract—In this paper, the order, size and degree of the nodes of the isomorphic fuzzy graphs are discussed. Isomorphism between fuzzy graphs is proved to be an equivalence relation. Some properties of self complementary and self weak complementary fuzzy graphs are discussed. Keywords—complementary ..."
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Abstract—In this paper, the order, size and degree of the nodes of the isomorphic fuzzy graphs are discussed. Isomorphism between fuzzy graphs is proved to be an equivalence relation. Some properties of self complementary and self weak complementary fuzzy graphs are discussed. Keywords—complementary fuzzy graphs, coweak isomorphism, equivalence relation, fuzzy relation, weak isomorphism. I.
ii Copyright c○2012
, 2012
"... iii ivI dedicate this thesis to my father Miguel Machado de Simas, my mother Maria de Lurdes de Simas and my wonderful wife Ana Claudia Guerra, who supported me in each step of the way with love and understanding. ..."
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iii ivI dedicate this thesis to my father Miguel Machado de Simas, my mother Maria de Lurdes de Simas and my wonderful wife Ana Claudia Guerra, who supported me in each step of the way with love and understanding.
DOI: 10.5829/idosi.wasj.22.am.4.2013 Metric Aspects ofNgraphs
"... Abstract: We first define length, distance, radius, eccentricity, path cover and edge cover of an Ngraph. Then we introduce the concept of self centeredNgraphs and investigate some of their important properties. We also establish the necessary and sufficient conditions for a completeNgraph to hav ..."
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Abstract: We first define length, distance, radius, eccentricity, path cover and edge cover of an Ngraph. Then we introduce the concept of self centeredNgraphs and investigate some of their important properties. We also establish the necessary and sufficient conditions for a completeNgraph to have an Nbridge.
DOI: 10.5829/idosi.wasj.22.am.1.2013 Nstructures Applied to Graphs
"... Abstract: In this paper, we introduce the notion of Ngraphs and describe methods of their construction. We prove that the isomorphism between Ngraphs is an equivalence relation (resp. partial order relation). We then introduce the concept ofNline graphs and discuss some of their fundamental prope ..."
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Abstract: In this paper, we introduce the notion of Ngraphs and describe methods of their construction. We prove that the isomorphism between Ngraphs is an equivalence relation (resp. partial order relation). We then introduce the concept ofNline graphs and discuss some of their fundamental properties. Key words: Ngraphs, isomorphism,Nline graphs.