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Some applications of vague sets
International Journal of Advanced Intelligence Paradigms, 2023P. K. Kishore Kumar +3 more
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Boolean-Valued Sets as Vague Sets
2014The standard fuzzy logic and fuzzy set theory are degree-functional and thus susceptible to the problem of penumbral connections. This chapter attempts to radically revise them in order to remove this feature. Whereas the original theory assigns any real number in [0,1] to a proposition or set membership, the revised theory, called Boolean-valued set ...
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Higher order vagueness and rough sets
2013 IEEE International Conference on Granular Computing (GrC), 2013It is well-known the naive approach to consider the main flaw to vague terms is that there are no sharp boundaries between positive and negative extensions, i.e., some borderline cases exist if the predicates are vague. However, Z. Pawlak has proposed a prominent approach to vagueness based on rough set theory but it seemed to be implausible due to the
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A General Model for Transforming Vague Sets into Fuzzy Sets
2006The relationship of vague sets and fuzzy sets is analyzed and the problem of transforming vague sets into fuzzy sets is studied in this paper. It is found to be a many-to-one mapping relation to transform a vague set into a fuzzy set. A general model for transforming vague sets into fuzzy sets is proposed.
Yong Liu +2 more
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Vague parameterized vague soft set theory and its decision making
Journal of Intelligent & Fuzzy Systems, 2017In this paper, we first define vague parameterized vague soft sets (vpvs-sets) and study some of their properties. We then introduce vpvs-aggregation operator to form vpvs-decision making method that allows constructing more efficient decision processes.
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Fundam. Informaticae, 2005
Summary: The approximation space definition has evolved in rough set theory over the last 15 years. The aim was to build a unified framework for concept approximations. We present an overview of this evolution together with some operations on approximation spaces that are used in searching for relevant approximation spaces.
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Summary: The approximation space definition has evolved in rough set theory over the last 15 years. The aim was to build a unified framework for concept approximations. We present an overview of this evolution together with some operations on approximation spaces that are used in searching for relevant approximation spaces.
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Approximation operators based on vague relations and roughness measures of vague sets
Frontiers of Computer Science in China, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A study on translational invariant vague set of a $$\Gamma $$-semiring
, 2020Y. Bhargavi
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Fuzzy sets and vague environments
Fuzzy Sets and Systems, 1994Abstract In this paper we propose a natural approach to handle imprecise numbers as they arise for example from measurements. Fuzzy sets turn out to be a canonical representation for such imprecise numbers that are induced by taking different tolerance or error bounds into account. Fuzzy sets are induced by scaling factors that describe the magnitude
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IEEE International Conference on Distributed Computing Systems, 2018
P. Umasankar, V. Thiagarasu
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P. Umasankar, V. Thiagarasu
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