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Journal articles on the topic 'Fuzzy concepts'

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1

Mukherjee, M. N., and S. P. Sinha. "Fuzzyθ-closure operator on fuzzy topological spaces." International Journal of Mathematics and Mathematical Sciences 14, no. 2 (1991): 309–14. http://dx.doi.org/10.1155/s0161171291000364.

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The paper contains a study of fuzzyθ-closure operator,θ-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzyδ-closures are investigated. As applications of these concepts, certain functions as well as some spaces satisfying certain fuzzy separation axioms are characterized in terms of fuzzyθ-closures andδ-closures.
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2

Iampan, Aiyared. "Fuzzy Translations of A Fuzzy Set in UP-Algebras." Journal of the Indonesian Mathematical Society 23, no. 2 (December 24, 2017): 1–19. http://dx.doi.org/10.22342/jims.23.2.371.1-19.

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In this paper, we apply the concept of fuzzy translations of a fuzzy set to UP-algebras.For any fuzzy set $\mu$ in a UP-algebra,the concepts of fuzzy $\alpha$-translations of $\mu$ of type \textrm{I} and of fuzzy $\beta$-translations of $\mu$ of type \textrm{II} are introduced, their basic properties are investigated and some useful examples are discussed.The concepts of prime fuzzy sets and of weakly prime fuzzy sets in UP-algebras are also studied.Moreover, we discuss the concepts of extensions and of intensions of a fuzzy set in UP-algebras.
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3

Wang, Liu Yang, Yang Xin Yu, Lei Zhou, and Sheng Hua Jin. "Fuzzy Information Retrieval Method Based on Fuzzy-Valued Concept Networks." Applied Mechanics and Materials 530-531 (February 2014): 506–11. http://dx.doi.org/10.4028/www.scientific.net/amm.530-531.506.

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In order to reduce the time of fuzzy inference, the relevant matrices and the relationship matrices are used to constitute the fuzzy-valued concept networks. The elements of a relevant matrix represent the relevant degrees between concepts. The elements of a relationship matrix represent the relevant relationships between concepts. Fuzzy positive association relationship or fuzzy negative association relationship are used for formulating users queries in order to increase the flexibility of fuzzy information retrieval systems. Expanding the fuzzy-valued concept network architecture to the Internet environment, we propose a fuzzy information retrieval method based on the network-type fuzzy-valued concept network and it can be relatively more effective information retrieval in the distributed network
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4

Hussein, M. L., and E. Ahmed. "Fuzzy concepts in radiotherapy." Fuzzy Sets and Systems 114, no. 2 (September 2000): 305–9. http://dx.doi.org/10.1016/s0165-0114(98)00177-8.

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5

Nadin, Mihai. "Concepts and fuzzy logic." International Journal of General Systems 41, no. 8 (November 2012): 860–67. http://dx.doi.org/10.1080/03081079.2012.726321.

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6

Srivastava, Rekha, and Arun K. Srivastava. "On fuzzy hausdorffness concepts." Fuzzy Sets and Systems 17, no. 1 (September 1985): 67–71. http://dx.doi.org/10.1016/0165-0114(85)90007-7.

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7

Abbas, S. E. "On smooth fuzzy subspaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 66 (2004): 3587–602. http://dx.doi.org/10.1155/s0161171204401021.

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We introduce a new concept of smooth topological subspaces, which coincides with the usual definition in the case whereμ=χY,Y⊂X. Also, we introduce some concepts such asq-nbd systems, continuity, separation axioms, compactness, and connectedness in this sense. Also, various characterization for some fuzzy topological concepts in this sense are given.
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8

Pankratieva, Vera V., and Sergei O. Kuznetsov. "Relations between Proto-fuzzy Concepts, Crisply Generated Fuzzy Concepts, and Interval Pattern Structures." Fundamenta Informaticae 115, no. 4 (2012): 265–77. http://dx.doi.org/10.3233/fi-2012-655.

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9

Akram, Muhammad, Noura Alshehri, and Rabia Akmal. "Certain Concepts inm-Polar Fuzzy Graph Structures." Discrete Dynamics in Nature and Society 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/6301693.

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We apply the concept ofm-polar fuzzy sets to graph structures. We introduce certain concepts inm-polar fuzzy graph structures, including strongm-polar fuzzy graph structure,m-polar fuzzyDi-cycle,m-polar fuzzyDi-tree,m-polar fuzzyDi-cut vertex, andm-polar fuzzyDi-bridge, and we illustrate these concepts by several examples. We present the notions ofϕ-complement of anm-polar fuzzy graph structure and self-complementary, strong self-complementary, totally strong self-complementarym-polar fuzzy graph structures, and we investigate some of their properties.
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10

Sarwar, Musavarah, and Muhammad Akram. "Novel Applications of m-Polar Fuzzy Concept Lattice." New Mathematics and Natural Computation 13, no. 03 (September 28, 2017): 261–87. http://dx.doi.org/10.1142/s1793005717400105.

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In this research paper, we introduce certain new concepts, including [Formula: see text]-polar fuzzy formal context, [Formula: see text]-polar fuzzy concept lattice, discernibility function and discernibility matrix. We discuss interesting applications of [Formula: see text]-polar fuzzy concept lattice for the detection of women and child trafficking and abduction suspects. We also present certain algorithms for computing [Formula: see text]-polar fuzzy formal concepts and discernibility function.
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11

Almohammed et al., Raghad. "New Concepts of Fuzzy Local Function." Baghdad Science Journal 17, no. 2 (May 11, 2020): 0515. http://dx.doi.org/10.21123/bsj.2020.17.2.0515.

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The main idea of this paper is to define other types of a fuzzy local function and study the advantages and differences between them in addition to discussing some definitions of finding new fuzzy topologies. Also in this research, a new type of fuzzy closure has been defined, where the relation between the new type and different types of fuzzy local function has been studied
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12

Chen, Toly, and Mao-Jiun J. Wang. "Forecasting methods using fuzzy concepts." Fuzzy Sets and Systems 105, no. 3 (August 1999): 339–52. http://dx.doi.org/10.1016/s0165-0114(97)00265-0.

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13

Horowitz, Leonard, and Bertram Malle. "Fuzzy Concepts in Psychotherapy Research." Psychotherapy Research 3, no. 2 (January 1993): 131–48. http://dx.doi.org/10.1080/10503309312331333739.

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14

Griebel, Cornelia. "Fuzzy concepts in translators’ minds." Between specialised texts and institutional contexts – competence and choice in legal translation 3, no. 1 (May 11, 2017): 97–113. http://dx.doi.org/10.1075/ttmc.3.1.07gri.

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Abstract Legal texts place particular demands on the reader owing to the institutionalized communication situation, their abstract content and language, and the indirect connection of the utterances with the extralinguistic and extralegal world. Most legal translators are not legal experts. Therefore, accessing the meaning of legal argumentation represents a major challenge, especially as legal translators mainly have to comprehend and translate texts issuing from a foreign legal system with its own legal language and terminology. With the aim of explaining the particular difficulties of legal text understanding and translation, this article takes up some general theoretical approaches of mental organization of word knowledge and speech comprehension developed in cognitive linguistics and psycholinguistics. These general models are adapted to the understanding of legal text comprehension, focusing on the mental representation of highly abstract legal language and legal arguing. On that basis, a cognitive-translational model of legal text understanding is developed. Finally the use of the model is discussed as a theoretical contribution to legal translator training and with regard to the particular position of the legal translator within the communication process.
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15

Leung, K. S., and W. Lam. "Fuzzy concepts in expert systems." Computer 21, no. 9 (September 1988): 43–56. http://dx.doi.org/10.1109/2.14346.

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16

Butnariu, Dan. "Measurability concepts for fuzzy mappings." Fuzzy Sets and Systems 31, no. 1 (May 1989): 77–82. http://dx.doi.org/10.1016/0165-0114(89)90068-7.

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17

Srivastava, Arun K., and Anuranwaj Singh. "On some fuzzy connectedness concepts." Fuzzy Sets and Systems 62, no. 2 (March 1994): 227–29. http://dx.doi.org/10.1016/0165-0114(94)90062-0.

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18

Farhadinia, Bahram, and Francisco Chiclana. "Extended Fuzzy Sets and Their Applications." Mathematics 9, no. 7 (April 2, 2021): 770. http://dx.doi.org/10.3390/math9070770.

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This contribution deals with introducing the innovative concept of extended fuzzy set (E-FS), in which the S-norm function of membership and non-membership grades is less than or equal to one. The proposed concept not only encompasses the concept of the fuzzy set (FS), but it also includes the concepts of the intuitionistic fuzzy set (IFS), the Pythagorean fuzzy set (PFS) and the p-rung orthopair fuzzy set (p-ROFS). In order to explore the features of the E-FS concept, set and algebraic operations on E-FSs, average and geometric operations of E-FSs are studied and an E-FS score function is defined. The superiority of the E-FS concept is further confirmed with a score-based decision making technique in which the concepts of FS, IFS, PFS and p-ROFS do not make sense.
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19

Dhavaseelan, R., and Saeid Jafari. "Fuzzy rarely α continuity." Boletim da Sociedade Paranaense de Matemática 37, no. 2 (April 23, 2017): 101–6. http://dx.doi.org/10.5269/bspm.v37i2.31243.

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In this paper, we introduce the concepts of fuzzy rare α continuous,fuzzy rarely continuous, fuzzy rarely pre-continuous, fuzzy rarely semi-continuous are introduced and studied in light of the concept of rare set in a fuzzy setting. Some interesting properties are investigated besides giving some examples
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20

WANG, HAIBIN, ANDRÉ ROGATKO, FLORENTIN SMARANDACHE, and RAJSHEKHAR SUNDERRAMAN. "A NEUTROSOPHIC DESCRIPTION LOGIC." New Mathematics and Natural Computation 04, no. 03 (November 2008): 273–90. http://dx.doi.org/10.1142/s1793005708001100.

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Description Logics (DLs) are appropriate, widely used, logics for managing structured knowledge. They allow reasoning about individuals and concepts, i.e. set of individuals with common properties. Typically, DLs are limited to dealing with crisp, well defined concepts. That is, concepts for which the problem whether an individual is an instance of it is a yes/no question. More often than not, the concepts encountered in the real world do not have a precisely defined criteria of membership: we may say that an individual is an instance of a concept only to a certain degree, depending on the individual's properties. The DLs that deal with such fuzzy concepts are called fuzzy DLs. In order to deal with fuzzy, incomplete, indeterminate and inconsistent concepts, we need to extend the capabilities of fuzzy DLs further. In this paper, we will present an extension of fuzzy [Formula: see text], combining Smarandache's neutrosophic logic with a classical DL. In particular, concepts become neutrosophic (here neutrosophic means fuzzy, incomplete, indeterminate and inconsistent), thus, reasoning about such neutrosophic concepts is supported. We will define its syntax, its semantics, describe its properties and present a constraint propagation calculus for reasoning.
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21

Russell, James A., and Beverly Fehr. "Fuzzy concepts in a fuzzy hierarchy: Varieties of anger." Journal of Personality and Social Psychology 67, no. 2 (1994): 186–205. http://dx.doi.org/10.1037/0022-3514.67.2.186.

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22

Gadjiev, Djavanshir, and Aligadzhi Rustanov. "Fuzzy topology and fuzzy geometry of the topological concepts." IOP Conference Series: Materials Science and Engineering 1001 (December 31, 2020): 012071. http://dx.doi.org/10.1088/1757-899x/1001/1/012071.

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23

Zuo, Cen, Anita Pal, and Arindam Dey. "New Concepts of Picture Fuzzy Graphs with Application." Mathematics 7, no. 5 (May 24, 2019): 470. http://dx.doi.org/10.3390/math7050470.

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The picture fuzzy set is an efficient mathematical model to deal with uncertain real life problems, in which a intuitionistic fuzzy set may fail to reveal satisfactory results. Picture fuzzy set is an extension of the classical fuzzy set and intuitionistic fuzzy set. It can work very efficiently in uncertain scenarios which involve more answers to these type: yes, no, abstain and refusal. In this paper, we introduce the idea of the picture fuzzy graph based on the picture fuzzy relation. Some types of picture fuzzy graph such as a regular picture fuzzy graph, strong picture fuzzy graph, complete picture fuzzy graph, and complement picture fuzzy graph are introduced and some properties are also described. The idea of an isomorphic picture fuzzy graph is also introduced in this paper. We also define six operations such as Cartesian product, composition, join, direct product, lexicographic and strong product on picture fuzzy graph. Finally, we describe the utility of the picture fuzzy graph and its application in a social network.
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24

Quaranta, Mario. "Fuzzy Set Theory and Concepts: A Proposal for Concept Formation and Operationalization." Comparative Sociology 12, no. 6 (2013): 785–820. http://dx.doi.org/10.1163/15691330-12341283.

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AbstractThe quantity-quality debate in social sciences also concerns concept formation and operationalization. The first approach has strong naturalist assumptions, while the second one focuses on the historical specificity of concepts. The solution to overcome this divide would be finding a path which balances the two perspectives. In this article we argue that fuzzy set theory can be a helpful tool for concept formation and operationalization. The application of fuzzy set theory to concept formation and operationalization provides, first, the opportunity of looking at concepts as complex constructs made up of attributes logically interconnected one with the other and, second, of measuring them accordingly. Thus, after presenting our general argument, we show a theoretical and an empirical application of how to use fuzzy sets in concept formation and operationalization.
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25

Hanafy, I. M. "Intuitionistic Fuzzy γ-Continuity." Canadian Mathematical Bulletin 52, no. 4 (December 1, 2009): 544–54. http://dx.doi.org/10.4153/cmb-2009-055-0.

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AbstractThis paper introduces the concepts of fuzzy γ-open sets and fuzzy γ-continuity in intuitionistic fuzzy topological spaces. After defining the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy γ-open sets and intuitionistic fuzzy γ-continuity and other results related topological concepts.
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26

Alghamdi, M. A., N. M. Muthana, and N. O. Alshehri. "Novel Concepts of Bipolar Fuzzy BCK-Submodules." Discrete Dynamics in Nature and Society 2017 (2017): 1–7. http://dx.doi.org/10.1155/2017/2084191.

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Translations and multiplications of bipolar fuzzy BCK-submodules are discussed. Extensions of bipolar fuzzy BCK-submodules are introduced. Relations between translations and multiplications of bipolar fuzzy BCK-submodules are presented.
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27

Alcalde, Cristina, Ana Burusco, Humberto Bustince, Ramon Fuentes-Gonzalez, and Mikel Sesma-Sara. "Linking Mathematical Morphology andL-Fuzzy Concepts." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 25, Suppl. 1 (December 2017): 73–98. http://dx.doi.org/10.1142/s0218488517400049.

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In this paper we study the relation between L-fuzzy morphology and L-fuzzy concepts over complete lattices. In particular, we show how the erosion and dilation operators of the former can be understood in terms of the derivation operators of the latter, even when the set of objects is different from the set of attributes.
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28

Wang, Ting Zhong, and Hong Sheng Xu. "Constructing Domain Ontology Based on Fuzzy Set and Concept Lattice." Applied Mechanics and Materials 63-64 (June 2011): 715–18. http://dx.doi.org/10.4028/www.scientific.net/amm.63-64.715.

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The major content in FCA is to extract formal concepts and connections between them from data in form of formal context so as to form a lattice structure of formal concepts. Fuzzy set theory and fuzzy logic are acknowledged as an appropriate formalism for capturing imprecise and vague knowledge. The paper offers a methodology for building ontology for knowledge sharing and reusing based on fuzzy concept lattices union. This paper makes up these defects by applying formal concept analysis theory and fuzzy sets to construct concept hierarchies of ontology, and the experiments shows the CPU Time in the attribute numbers, indicating that FFCA is superior to FCA in building the ontology of semantic web.
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29

Zhou, Xin, Liangyun Chen, and Yuan Chang. "L-fuzzy ideals and L-fuzzy subalgebras of Novikov algebras." Open Mathematics 17, no. 1 (December 26, 2019): 1538–46. http://dx.doi.org/10.1515/math-2019-0126.

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Abstract In this paper, we apply the concept of fuzzy sets to Novikov algebras, and introduce the concepts of L-fuzzy ideals and L-fuzzy subalgebras. We get a sufficient and neccessary condition such that an L-fuzzy subspace is an L-fuzzy ideal. Moreover, we show that the quotient algebra A/μ of the L-fuzzy ideal μ is isomorphic to the algebra A/Aμ of the non-fuzzy ideal Aμ. Finally, we discuss the algebraic properties of surjective homomorphic image and preimage of an L-fuzzy ideal.
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30

Alamar, Miguel, and Vicente D. Estruch. "A contribution to fuzzy subspaces." Applied General Topology 3, no. 1 (April 1, 2002): 13. http://dx.doi.org/10.4995/agt.2002.2107.

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31

Chen, Chin Chun, Yuan Horng Lin, and Jeng Ming Yih. "Management of Abstract Algebra Concepts Based on Knowledge Structure." Applied Mechanics and Materials 284-287 (January 2013): 3537–42. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.3537.

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Knowledge Management of Mathematics Concepts was essential in educational environment. The purpose of this study is to provide an integrated method of fuzzy theory basis for individualized concept structure analysis. This method integrates Fuzzy Logic Model of Perception (FLMP) and Interpretive Structural Modeling (ISM). The combined algorithm could analyze individualized concepts structure based on the comparisons with concept structure of expert. Fuzzy clustering algorithms are based on Euclidean distance function, which can only be used to detect spherical structural clusters. A Fuzzy C-Means algorithm based on Mahalanobis distance (FCM-M) was proposed to improve those limitations of GG and GK algorithms, but it is not stable enough when some of its covariance matrices are not equal. A new improved Fuzzy C-Means algorithm based on a Normalized Mahalanobis distance (FCM-NM) is proposed. Use the best performance of clustering Algorithm FCM-NM in data analysis and interpretation. Each cluster of data can easily describe features of knowledge structures. Manage the knowledge structures of Mathematics Concepts to construct the model of features in the pattern recognition completely. This procedure will also useful for cognition diagnosis. To sum up, this integrated algorithm could improve the assessment methodology of cognition diagnosis and manage the knowledge structures of Mathematics Concepts easily.
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32

Veri, Francesco. "Fuzzy Multiple Attribute Conditions in fsQCA: Problems and Solutions." Sociological Methods & Research 49, no. 2 (October 3, 2017): 312–55. http://dx.doi.org/10.1177/0049124117729693.

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This article aims to clarify the fundamental aspects of aggregating fuzzy scores of conditions with multiple attributes in fuzzy set qualitative comparative analysis (fsQCA). Fuzzy multiple attribute conditions (FMACs) are conditions that are built using different types of concepts. FMACs are flexible conditions that express the ontological nature of the concept and deals with the causal heterogeneity. In fact, researchers can add a new attribute to a concept in order to consider the concept’s meaning vis-à-vis to the outcome of interest instead of only considering the theory. In relation to FMAC fuzzy scores, we have individuated one problematic issue which is the aggregation strategy of attributes that are already calibrated that should be able to capture conceptual properties of membership and similarity. In this article, we will employ an empirical example in order to deal with causal heterogeneity and aggregation strategies. After discussing the disadvantages of the aggregation techniques used by QCA scholars, we individuate an axiomatic framework for defining logical conjunction operators that allows one to aggregate parts of concepts in accordance with membership and similarity. Then, we propose a technique to assign fuzzy scores to FMAC using the arithmetic mean–based compensatory fuzzy logic. This technique indirectly affects the solution formula(s) following the QCA and allows one to better locate cases in the XY plot during the post-QCA analysis.
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33

Essam Hamouda. "Intuitionistic fuzzy topological spaces: Categorical concepts." ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 13, no. 2 (February 2017): 231–38. http://dx.doi.org/10.30948/afmi.2017.13.2.231.

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34

Sauer, Jürgen, Gerd Suelmann, and Hans-Jürgen Appelrath. "Multi-site scheduling with fuzzy concepts." International Journal of Approximate Reasoning 19, no. 1-2 (July 1998): 145–60. http://dx.doi.org/10.1016/s0888-613x(98)10005-1.

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35

Buckley, J. J., and Aimin Yan. "Fuzzy functional analysis (I): Basic concepts." Fuzzy Sets and Systems 115, no. 3 (November 2000): 393–402. http://dx.doi.org/10.1016/s0165-0114(98)00161-4.

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36

Maccarone, Maria Concetta. "Fuzzy mathematical morphology: Concepts and applications." Vistas in Astronomy 40, no. 4 (January 1996): 469–77. http://dx.doi.org/10.1016/s0083-6656(96)00031-1.

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37

Saxena, Badal, and Saibal K. Pal. "Some new concepts in fuzzy arithmetic." Journal of Discrete Mathematical Sciences and Cryptography 13, no. 3 (June 2010): 257–70. http://dx.doi.org/10.1080/09720529.2010.10698291.

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38

Popescu, Andrei. "A general approach to fuzzy concepts." MLQ 50, no. 3 (May 2004): 265–80. http://dx.doi.org/10.1002/malq.200310098.

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39

Mathew, Sunil, and J. N. Mordeson. "Connectivity concepts in fuzzy incidence graphs." Information Sciences 382-383 (March 2017): 326–33. http://dx.doi.org/10.1016/j.ins.2016.12.020.

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40

Rashmanlou, Hossein, and R. A. Borzooei. "New Concepts of Fuzzy Labeling Graphs." International Journal of Applied and Computational Mathematics 3, S1 (April 12, 2017): 173–84. http://dx.doi.org/10.1007/s40819-017-0348-y.

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41

Ali, Dewan M. "A note on fuzzy regularity concepts." Fuzzy Sets and Systems 35, no. 1 (March 1990): 101–4. http://dx.doi.org/10.1016/0165-0114(90)90022-x.

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42

Rodríguez-López, Jesús. "Fuzzy uniform structures." Filomat 31, no. 15 (2017): 4763–79. http://dx.doi.org/10.2298/fil1715763r.

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The concept of fuzzy uniform structure was introduced in [7] as a fuzzy counterpart of the concept of gauge associated with a uniformity. In fact, the category of fuzzy uniform structures is isomorphic to that of uniform spaces. Here, we introduce two other concepts of fuzzy uniform structures which allow to establish two categories isomorphic to the categories of probabilistic uniform spaces and Lowen uniform spaces, respectively. This sheds light on the relationship between these fuzzy uniformities and classical uniformities. Furthermore, we obtain a factorization of Lowen?s adjoint functors ?* and ? which establish a relationship between the categories of uniform spaces and Lowen uniform spaces.
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43

Khan, Meraj A., Izhar Ahmad, and Abdulrahman Aljohani. "Criterion for Generalized Weakly Fuzzy Invex Monotonocities." Advances in Fuzzy Systems 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/3749650.

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The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented. Moreover, the concept of fuzzy strong invex monotonocities and fuzzy strong invex functions are also discussed. To strengthen our definitions, we provide nontrivial examples of fuzzy invex monotonocities and weakly fuzzy invex functions.
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44

TODOROV, KONSTANTIN, CELINE HUDELOT, ADRIAN POPESCU, and PETER GEIBEL. "FUZZY ONTOLOGY ALIGNMENT USING BACKGROUND KNOWLEDGE." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 22, no. 01 (February 2014): 75–112. http://dx.doi.org/10.1142/s0218488514500044.

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We propose an ontology alignment framework with two core features: the use of background knowledge and the ability to handle vagueness in the matching process and the resulting concept alignments. The procedure is based on the use of a generic reference vocabulary, which is used for fuzzifying the ontologies to be matched. The choice of this vocabulary is problem-dependent in general, although Wikipedia represents a general-purpose source of knowledge that can be used in many cases, and even allows cross language matchings. In the first step of our approach, each domain concept is represented as a fuzzy set of reference concepts. In the next step, the fuzzified domain concepts are matched to one another, resulting in fuzzy descriptions of the matches of the original concepts. Based on these concept matches, we propose an algorithm that produces a merged fuzzy ontology that captures what is common to the source ontologies. The paper describes experiments in the domain of multimedia by using ontologies containing tagged images, as well as an evaluation of the approach in an information retrieval setting. The undertaken fuzzy approach has been compared to a classical crisp alignment by the help of a ground truth that was created based on human judgment.
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45

Et al., Al Khafaje. "On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space." Baghdad Science Journal 16, no. 1 (March 17, 2019): 0237. http://dx.doi.org/10.21123/bsj.16.1.(suppl.).0237.

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The purpose of this paper is to introduce and study the concepts of fuzzy generalized open sets, fuzzy generalized closed sets, generalized continuous fuzzy proper functions and prove results about these concepts.
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Et al., Al Khafaje. "On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space." Baghdad Science Journal 16, no. 1(Suppl.) (March 17, 2019): 0237. http://dx.doi.org/10.21123/bsj.2019.16.1(suppl.).0237.

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The purpose of this paper is to introduce and study the concepts of fuzzy generalized open sets, fuzzy generalized closed sets, generalized continuous fuzzy proper functions and prove results about these concepts.
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47

Alzoubi, Wael Ahmad, and As’ad Mahmoud As’ad Alnaser. "A Study on Connectivity Concepts in Intuitionistic Fuzzy Graphs." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 16 (January 15, 2021): 77–82. http://dx.doi.org/10.37394/23203.2021.16.5.

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In this paper, we introduced some concepts of connectivity in an intuitionistic fuzzy graphs, also we study intuitionistic fuzzy cut vertices and intuitionistic fuzzy bridges in fuzzy graph. Connectivity in complete intuitionistic fuzzy graphs is also studied
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48

Močkoř, Jiří, and David Hýnar. "On Unification of Methods in Theories of Fuzzy Sets, Hesitant Fuzzy Set, Fuzzy Soft Sets and Intuitionistic Fuzzy Sets." Mathematics 9, no. 4 (February 23, 2021): 447. http://dx.doi.org/10.3390/math9040447.

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The main goal of this publication is to show that the basic constructions in the theories of fuzzy sets, fuzzy soft sets, fuzzy hesitant sets or intuitionistic fuzzy sets have a common background, based on the theory of monads in categories. It is proven that ad hoc defined basic concepts in individual theories, such as concepts of power set structures in these theories, relations or approximation operators defined by these relations are only special examples of applications of the monad theory in categories. This makes it possible, on the one hand, to unify basic constructions in all these theories and, on the other hand, to verify the legitimacy of ad hoc definitions of these constructions in individual theories. This common background also makes it possible to transform these basic concepts from one theory to another.
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49

Jorba, Lambert, and Romà Adillon. "Interval Fuzzy Segments." Symmetry 10, no. 8 (August 1, 2018): 309. http://dx.doi.org/10.3390/sym10080309.

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In this paper, we bring together two concepts related to uncertainty and vagueness: fuzzy numbers and intervals. With them, we build a new structure whose elements we call interval fuzzy segments. We have undertaken this based on the conviction that the fuzzy numbers are a correct representation of the real numbers under situations of indeterminacy. We also believe that if it makes sense to consider the set of real numbers between two real bounds, then it also makes sense to consider the set of all the fuzzy numbers between two fuzzy number bounds. In this way, we extend the concept of real interval to the concept of interval fuzzy segment defined by two fuzzy bounds and a transition mapping that leads from the lower fuzzy bound to the upper fuzzy bound and this transition mapping generates the set of all the fuzzy numbers comprised between those fuzzy bounds. At the same time, this transition mapping brings the concept of interval fuzzy segment closer to the concept of line segment.
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50

Abdolshah, Mohammad. "Measuring Loss-Based Process Capability IndexLeand Its GenerationLe′′with Fuzzy Numbers." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/217406.

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Loss-based process capability indices are appropriate and realistic tools in order to measure the process capability. Among them, indexLeand its generationLe′′are well-known loss-based process capability indices, whose concepts are based on the worth (the opposite concept of loss). Sometimes, in order to calculateLeandLe′′there are some uncertainties in observations, so fuzzy logic can be employed to manage the uncertainties. This paper investigates fuzzification of process capability indexL~eand its generationL~e′′. In order to find the membership function of process capability indicesL~eandL~e′′, theα-cuts of fuzzy observation were employed. Then with an example of fuzzy process capability index,L~eandL~e′′were calculated and compared. Results showed that fuzzyL~e′′was more sensitive compared withL~eand was increased while the target departs (asymmetric tolerance). This example also showed that, with departure from the target, variation of fuzzyL~e′′and consequently its fuzziness were increased.
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