Relevant bibliographies by topics / Empty Fuzzy Set

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Academic literature on the topic 'Empty Fuzzy Set'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Empty Fuzzy Set"

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Kishore, Parimi Radhakrishna, and Sileshe Gone Korma. "FUZZY GENERALISED LATTICEs (fuzzy gls) Based on fuzzy partial ordering relation (fuzzy porel)." Journal of Scientific Research 68, no. 01 (2024): 39–44. http://dx.doi.org/10.37398/jsr.2024.680105.

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A generalised lattice is an intermediate structure between directed poset and lattice. Every generalised lattice is a directed poset but the converse is not true. Every lattice is a generalised lattice but the converse is not true. A fuzzy relation defined on a non-empty set is called a fuzzy partial ordered relation if it satisfies reflexive, anti-symmetric and transitive. A non-empty set together with a fuzzy partial ordered relation is called a fuzzy poset. This article deals with the concept of FUZZY GENERALISED LATTICE (fuzzy gl) Based on fuzzy partial ordering relation (fuzzy porel).
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Madani, Ahmad, Saman Abdurrahman, and Na'imah Hijriati. "RELASI FUZZY PADA GRUP FAKTOR FUZZY." JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON 14, no. 1 (2020): 33. http://dx.doi.org/10.20527/epsilon.v14i1.2394.

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Fuzzy subsets on the non-empty set is a mapping of this set to the interval . The concept of fuzzy subgroups introduced from advanced concept of fuzzy set in group theory. In concept of fuzzy set there is the concept of relations is fuzzy relations. In this study examined that fuzzy relations related to the equivalence and congruence on a fuzzy group and fuzzy factor group. The results of this study was to show that a fuzzy relation if and if is a fuzzy congruence relations on fuzzy group and a fuzzy relation defined of is a fuzzy congruence relations on fuzzy factor group.
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Georgiou, Dimitrios, and Georgios Prinos. "A New Notion of Fuzzy Function Ideal Convergence." Mathematics 12, no. 2 (2024): 260. http://dx.doi.org/10.3390/math12020260.

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P.M. Pu and Y.M. Liu extended Moore-Smith’s convergence of nets to fuzzy topology and Y.M. Liu provided analogous results to J. Kelley’s classical characterization theorem of net convergence by introducing the notion of fuzzy convergence classes. In a previous paper, the authors of this study provided modified versions of this characterization by using an alternative notion of convergence of fuzzy nets, introduced by B.M.U. Afsan, named fuzzy net ideal convergence. Our main scope here is to generalize and simplify the preceding results. Specifically, we insert the concept of a fuzzy function i
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Rajbongshi, Dr Sisir Kumar, and Prasanta Gogoi. "On Some Theoretic Aspects of Fuzzy Subsets." International Journal for Research in Applied Science and Engineering Technology 11, no. 2 (2023): 29–33. http://dx.doi.org/10.22214/ijraset.2023.48934.

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Abstract: This article proposes some important theoretic aspects of L -fuzzy power set of a finite set. Here, we take a non-empty finite set E and an ordered subset M of the closed interval 0,1, then the set of mappings from E to M denoted by F is defined as L -fuzzy power set. Considering the disjunctive union ‘ ’ operations between fuzzy subsets of F , the structure F,forms a groupoid, which is defined as special fuzzy groupoid. Later, we try to introduce the product of special fuzzy groupoids and their properties
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Tchikapa, Cyrille Nganteu. "Anti Fuzzy Deductive Systems of BL-Algebras." International Journal of Artificial Life Research 3, no. 3 (2012): 32–40. http://dx.doi.org/10.4018/jalr.2012070103.

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The aim of this paper is to introduce the notion of anti fuzzy (prime) deductive system in BL-algebra and to investigate their properties. It is shown that the set of all deductive systems (with the empty set) of a BL-algebra X is equipotent to a quotient of the set of all anti fuzzy deductive systems of X. The anti fuzzy prime deductive system theorem of BL-algebras is also proved.
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Şahin, Mehmet, Necati Olgun, F. Talay Akyıldız, and Ali Karakuş. "Generalized Caratheodory Extension Theorem on Fuzzy Measure Space." Abstract and Applied Analysis 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/260457.

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Lattice-valued fuzzy measures are lattice-valued set functions which assign the bottom element of the lattice to the empty set and the top element of the lattice to the entire universe, satisfying the additive properties and the property of monotonicity. In this paper, we use the lattice-valued fuzzy measures and outer measure definitions and generalize the Caratheodory extension theorem for lattice-valued fuzzy measures.
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Chen, Chih-Yuan, Cheng-Pin Wang, and Tetz C. Huang. "A Characterization of Convex Fuzzy Mappings." International Journal of Artificial Life Research 1, no. 3 (2010): 40–44. http://dx.doi.org/10.4018/jalr.2010070104.

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As any real-valued functions can be regarded as a fuzzy mapping, the research on fuzzy mappings extends the research on real-valued functions. In this paper, a characterization of convex fuzzy mappings is obtained. Supposeis a fuzzy mapping, whereis a non-empty convex subset ofandis the set of all fuzzy numbers. With respect to the fuzzy-max order, is convex if and only if it is both quasi-convex and intermediate-point convex.
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S., Subramanian, and Muruganandham K. "MEASURES AND DETERMINATIONS OF SANCHEZ'S METHOD OVER DOUBLE-FRAMED FUZZY SOFT SETS." International Journal of Applied and Advanced Scientific Research 2, no. 2 (2017): 128–32. https://doi.org/10.5281/zenodo.887930.

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In our work, we have defined different types of double-framed fuzzy soft matrix. Operations of addition, multiplication and complement of double-framed fuzzy soft matrix are defined with examples. Some related propositions with proof is also worked out. Finally medical diagnosis problems have been solved using double framed fuzzy soft matrix.
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Kazancı, Osman, Sarka Hoskova-Mayerova, and Bijan Davvaz. "Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups." Mathematics 10, no. 13 (2022): 2178. http://dx.doi.org/10.3390/math10132178.

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The combination of two elements in a group structure is an element, while, in a hypergroup, the combination of two elements is a non-empty set. The use of hypergroups appears mainly in certain subclasses. For instance, polygroups, which are a special subcategory of hypergroups, are used in many branches of mathematics and basic sciences. On the other hand, in a multi-fuzzy set, an element of a universal set may occur more than once with possibly the same or different membership values. A soft set over a universal set is a mapping from parameters to the family of subsets of the universal set. I
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Zhang, Xiao, та Shao Quan Sun. "Generalized Fuzzy α-Ideals of BCI-Algebras". Applied Mechanics and Materials 321-324 (червень 2013): 2794–97. http://dx.doi.org/10.4028/www.scientific.net/amm.321-324.2794.

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In this Paper, the Concept of Generalized Fuzzy α-Ideal of BCI-Algebra is Introduced. the Following Results are Obtained: for a BCI-Algebra X, any Generalized Fuzzy α-Ideal of X must be a Generalized Fuzzy Ideal; a Fuzzy Set A of X is a Generalized Fuzzy α-Ideal of X if and only if for all t∈[λ,μ], At is either Empty or an α-Ideal of X; Suppose that A and B are Generalized Fuzzy α-Ideals of X, then so are A∩B and A×B. also, a Characterizations of Generalized Fuzzy α-Ideal is Given.
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Books on the topic "Empty Fuzzy Set"

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Livermore, Roy. Poles Apart. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198717867.003.0004.

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In just a few years, the magnetic bar-code secreted beneath the world’s oceans had provided detailed intelligence on the motions of the plates. When combined with other data from the sea floor, this allowed geophysicists to reconstruct the history of entire ocean basins following the rifting of Pangea. Some folk, however, are never happy, and ‘glass-half-empty’ types might well have complained that, impressive as all this was, it accounted for less than 200 million of the 4500 million years of Earth history, i.e. just 4%. What about that other 96%? Did plate tectonics operate through part or a
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Book chapters on the topic "Empty Fuzzy Set"

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") To each classification index subsets transformation. Classification level knowledge, based on the afore mentioned domain is given, where q is better to classification index system. The knowledge was be an odd number so that we can have a middle expressed as production rule with a basic structure level. below: To quantify each indicator in of a certain ad to all categories classified by single in which, A is the production prerequisite, and B indicator is determined. The value of membership is a set of conclusions. Both A and B can generously function can be determined by using expert scoring be expressions composed by text, numbers, and method. So u we can have the single indicator fuzzy logical operators AND, OR, and NOT. matrix . Here in our research, the prerequisite A led by IF The fuzzy weight vector of every indicators of production rule was the classification index of in ,, a ) the corresponding membership function. Before performing the synthesis process, When single indicator was used in classification, generated. Such as the Single Factor in Fig.1, four of (2) its specific indicators were empty, single emotion,." In Network Security and Communication Engineering. CRC Press, 2015. http://dx.doi.org/10.1201/b18660-51.

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