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Decision Making with Dempster-Shafer Theory Using Fuzzy Induced Aggregation Operators
2011We develop a new approach for decision making with Dempster-Shafer theory of evidence where the available information is uncertain and it can be assessed with fuzzy numbers. With this approach, we are able to represent the problem without losing relevant information, so the decision maker knows exactly which are the different alternatives and their ...
José M. Merigó, Montserrat Casanovas
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A New Class of Uninorm Aggregation Operations for Fuzzy Theory
2019Uninorms play a prominent role both in the theory and applications of Aggregations, Fuzzy Theory, and of Mathematical Fuzzy Logic. In this paper the class of group-like uninorms is introduced. First, two variants of a construction method – called partial-lexicographic product – will be recalled; it constructs a large subclass of group-like FL\(_e ...
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Powerset Operator Foundations For Poslat Fuzzy Set Theories And Topologies
1999This chapter summarizes those powerset operator foundations of all mathematical and fuzzy set disciplines in which the operations of taking the image and preimage of (fuzzy) subsets play a fundamental role; such disciplines include algebra, measure theory and analysis, and topology.
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Two fuzzier implication operators in the theory of fuzzy power sets
Fuzzy Sets and Systems, 1980Abstract The theory of fuzzy power sets requires the use of an implication operator acting within the set of values taken by the membership functions of the fuzzy sets. Two such operators and resulting relationships between fuzzy sets are studied here, and the results compared with previous ones obtained with other implication operators.
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SURVEY ON MILITARY OPERATIONS OF FUZZY SET THEORY AND ITS APPLICATIONS
2020In recent years, with the increase in investment in countries' military expenditures, the importance of decision-making problems in the military has gradually increased. There are various uncertainties such as vagueness, imprecise or ambiguous in decision-making problems.
DEVECİ, Muhammet +2 more
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Fuzzy Sets in Operations Research — Eine Einführung in Theorie und Anwendung
1985Die Theorie unscharfer Mengen (Fuzzy Sets) wird 19 85 20 Jahre alt. es gibt auf diesem Gebiet inzwischen ca. 4000 veroffentlichungen und eine Anzahl interessanter Anwendungen, die auch den or-ler interessieren durften. in der Bundesrepublik hat dieser Zweig quantitativen Modellierens bisher noch nicht viel Aufmerksamkeit gefunden.
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Philosophy of Science, Operations Research, and Fuzzy Set Theory – Personal Observations
2013Since the following are personal observations, it might be appropriate to tell the reader some relevant facts of my background. They have shaped my views, which otherwise might seem strange to some colleagues in other disciplines:
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