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In many decision-making situations, we are not restricted to two kinds of aspects, such as membership degree or nonmembership degree, and sometimes we need to include the abstinence degree (AD). However, many fuzzy set theories fail to cover issues, such
Xiaopeng Yang +3 more
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Spherical fuzzy sets, originally proposed by F.K. Gündogdu, C. Kahraman, Spherical fuzzy sets and spherical fuzzy TOPSIS method, J. Intell. Fuzzy Syst.
Muhammad Akram +3 more
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Spherical fuzzy sets and spherical fuzzy TOPSIS method
All the extensions of ordinary fuzzy sets with three dimensional membership functions such as intuitionistic fuzzy sets (IFS), intuitionistic fuzzy sets of second type (IFS2), and neutrosophic fuzzy sets (NFS) aim at defining the judgments of decision makers/ experts with a more detailed description.
Fatma Kutlu Gündogdu, Cengiz Kahraman
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Using nonstationary fuzzy sets to improve the tractability of fuzzy association rules [PDF]
Modern organisations now collect very large volumes of data about customers, suppliers and other factors which may impact upon their business. There is a clear need to be able to mine this data and present it to decision makers in a clear and coherent ...
Matthews, Stephen G. +3 more
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Applications of Spherical Fuzzy Sets in Ternary Semigroups
In this paper, we introduce the notions of spherical fuzzy ternary subsemigroups and spherical fuzzy ideals in ternary semigroups by using the concepts of ternary subsemigroups and ideals in ternary semigroups. We investigate their properties. Moreover, we study roughness of spherical fuzzy ideals in ternary semigroups.
Wasitthirawat Krailoet +3 more
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This research article aims at establishing the foundations of generalized hybrid frameworks for dealing with uncertainties in knowledge-based systems. First, by combining the notions of picture fuzzy soft set, spherical fuzzy soft set, and T-spherical ...
Alessio Martino +2 more
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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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Many fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts.
Ansa Ashraf +5 more
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Notion of Complex Spherical Fuzzy Graph with Application
A complex spherical fuzzy set (CSFS) is a generalization of a spherical fuzzy set (CFS). CSFS handles vagueness more explicitly, and its range is expanded from the real subset to the complex with unit disc.
Muhammad Shoaib +3 more
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An approach for spherical fuzzy relations via relator spaces
Spherical fuzzy sets are an advanced tool of three-dimensional membership functions which consist of membership, non-membership and hesitancy degrees. In this paper, it is introduced a new approach via proximal spaces for spherical fuzzy sets. To do this,
Özlem Tekin, Tekin, Ozlem
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