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A Comprehensive Literature Review of 50 Years of Fuzzy Set Theory
Fuzzy sets have a great progress in every scientific research area. It found many application areas in both theoretical and practical studies from engineering area to arts and humanities, from computer science to health sciences, and from life sciences ...
Cengiz Kahraman +2 more
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Roughness of fuzzy soft sets and related results [PDF]
This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced.
Zhaowen Li, Tusheng Xie
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A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]
An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
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Multi-fuzzy Sets: An Extension of Fuzzy Sets
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Sebastian, Sabu, Ramakrishnan, T. V.
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We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001).
Bashir Ahmad 0002, Athar Kharal
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Fuzzy sets and (fuzzy) random sets in Econometrics and Statistics
The research in the present manuscript has been partially supported by the Spanish Government through MINECO-18-MTM2017-89632-P Grant. Their finantial support is greatfully acknowledged.
Ana Colubi, Ana Belén Ramos-Guajardo
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Fuzzy Neutrosophic Strongly Alpha Generalized Closed Sets in Fuzzy Neutrosophic Topological spaces [PDF]
In this paper, we will define a new set called fuzzy neutrosophic strongly alpha generalized closed set, so we will prove some theorems related to this concept.
Shaymaa F. Matar, Fatimah M. Mohammed
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The aim of this paper is to discuss properties of fuzzy regular-flats, fuzzy C- flats, fuzzy alternative-sets and fuzzy i-flats. Moreover, we characterize some peculiar fuzzy matroids via these notions. Finally, we provide a decomposition of fuzzy strong
Talal Ali Al-hawary +1 more
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In this paper, four new operators (O1,O2,O3,O4) are proposed, defined and considered to study the new properties and identities on hesitant fuzzy sets. Since these operators are useful for different operation on hesitant fuzzy sets, the various theorems ...
G.S. Thakur, Rekha Thakur, Ravi Singh
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In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type 𝑛 fuzzy sets, and hesitant fuzzy sets, have been introduced and ...
Bin Zhu, Zeshui Xu, Meimei Xia
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