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Computing fuzzy rough approximations in large scale information systems [PDF]
, 2014 Rough set theory is a popular and powerful machine learning tool. It is especially suitable for dealing with information systems that exhibit inconsistencies, i.e. objects that have the same values for the conditional attributes but a different value for
Asfoor, Hasan +7 more
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A study on fundamentals of refined intuitionistic fuzzy set with some properties [PDF]
Journal of Fuzzy Extension and Applications, 2020 Zadeh conceptualized the theory of fuzzy set to provide a tool for the basis of the theory of possibility. Atanassov extended this theory with the introduction of intuitionistic fuzzy set.
Atiqe Rahman +5 more
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The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets
Advances in Fuzzy Systems, 2013 Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al.
Zhiming Zhang
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An information-based approach to handle various types of uncertainty in fuzzy bodies of evidence.
PLoS ONE, 2020 Fuzzy evidence theory, or fuzzy Dempster-Shafer Theory captures all three types of uncertainty, i.e. fuzziness, non-specificity, and conflict, which are usually contained in a piece of information within one framework.
Atiye Sarabi-Jamab, Babak N Araabi
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Effective Fuzzy Soft Set Theory and Its Applications
Applied Computational Intelligence and Soft Computing, 2022 Fuzzy soft set is the most powerful and effective extension of soft sets which deals with parameterized values of the alternative. It is an extended model of soft set and a new mathematical tool that has great advantages in dealing with uncertain ...
Shawkat Alkhazaleh
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A Brief Analysis and Interpretation on Arithmetic Operations of Fuzzy Numbers
Results in Control and Optimization, 2023 Fuzzy set theory is a generalized form of crisp set theory where elements are binary inclusion forms. In fuzzy set, it differs with degree of membership for every element in the set. There are several strategies for arithmetic operations on fuzzy numbers.
Asesh Kumar Mukherjee +4 more
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Austrian Journal of Statistics, 2016 After introducing and developing fuzzy set theory, a lot of studies have been done to combine statistical methods and fuzzy set theory. Thisworks, called fuzzy statistics, have been developed in some branches. In this article we review essential works on
S. Mahmoud Taheri
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Three-Way Fuzzy Sets and Their Applications (II)
Axioms, 2022 Recently, the notion of a three-way fuzzy set is presented, inspired by the basic ideas of three-way decision and various generalized fuzzy sets, including lattice-valued fuzzy sets, partial fuzzy sets, intuitionistic fuzzy sets, etc.
Jingqian Wang +2 more
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Bi-ideals of ordered semigroups based on the interval-valued fuzzy point [PDF]
, 2016 Interval-valued fuzzy set theory (advanced generalization of Zadeh’s fuzzy sets) is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory.
Khan, Asghar +3 more
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Some Topological and Algebraic Properties of α-level Subsets’ Topology of a Fuzzy Subset
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The theory of fuzzy sets, since its foundation, has advanced in a wide range of means and in many fields. One of the areas to which fuzzy set theory has been applied extensively is mathematical programming.
Onasanya B. O., Hoskova-Mayerova S.
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