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Fuzzy Boundary and Fuzzy Semiboundary

M. Athar, B. Ahmad
2008 Advances in Fuzzy Systems  
Properties of fuzzy semi-interior, fuzzy semiclosure, fuzzy boundary, and fuzzy semiboundary have been obtained in product-related spaces.  ...  Moreover, fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions have been characterized via fuzzy-derived (resp., fuzzy-semiderived) sets.  ...  Moreover, fuzzy continuous 2 Advances in Fuzzy Systems (resp., fuzzy semicontinuous, fuzzy irresolute) functions have been characterized via fuzzy-derived (resp., fuzzy semiderived) sets.  ... 
doi:10.1155/2008/586893 fatcat:wdf4yru3yvgtnhpuowcufiihly

Fuzzy Topological Spaces [chapter]

1998 Advances in Fuzzy Systems — Applications and Theory  
In our previous papers we have developed p64 . the concepts of Normality and the fuzzy unit interval [4 J, uniformities and complete regularity [5], a. system of regularity axioms We first prove  ...  Consider an open set V in the fuzzy topology generated by E.  ...  In (1) and (2) I use t), U, ~, instead of 1\, V, . < in the lattice LX of fuzzy sets over a set L. This is to imitate the relationship between fuzzy sets and ordinary sets.  ... 
doi:10.1142/9789812817242_0002 fatcat:rbs5qopxbjaltdpxews5xlt56m

Fuzzy Semantic Models of Fuzzy Concepts in Fuzzy Systems

Yingxu Wang
2022 International journal of fuzzy systems and advanced applications  
The fuzzy properties of language semantics are a central problem towards machine-enabled natural language processing in cognitive linguistics, fuzzy systems, and computational linguistics.  ...  A formal method for rigorously describing and manipulating fuzzy semantics is sought for bridging the gap between humans and cognitive fuzzy systems.  ...  ACKNOWLEDGMENT A number of notions in this work have been inspired by Prof. Lotfi A. Zadeh during the author's sabbatical leave at BISC, UC Berkeley as a visiting professor. I am grateful to Dr.  ... 
doi:10.46300/91017.2022.9.9 fatcat:bvb2ad24hnhixfiyitctjcpbxa

FUZZY PROBABILITIES [chapter]

LOTFI A. ZADEH
1996 Advances in Fuzzy Systems — Applications and Theory  
As was pointed out earlier, the fuzziness in the probability of drawing a large ball is induced by the fuzziness in our knowledge of the number of large balls in the urn.  ...  In the approach outlined in this paper, the probabilities are assumed to be fuzzy rather than real numbers.  ... 
doi:10.1142/9789814261302_0030 fatcat:732h47z6vvgl3madv265rzkala

Fuzzy Hypervector Spaces

R. Ameri, O. R. Dehghan
2008 Advances in Fuzzy Systems  
In this regard, by considering the notion of fuzzy hypervector spaces, we characterized a fuzzy hypervector space based on its level sub-hyperspace.  ...  Certain conditions are obtained under which a given fuzzy hypervector space can or cannot be realized as a union of two fuzzy hypervector spaces such that none is contained in the other.  ...  This research is partially supported by the "The Center for International Scientific Studies and Collaboration (CISSC) in Iran".  ... 
doi:10.1155/2008/295649 fatcat:sbhadiiezffhvjba7kq4naomsa

Advances in type-2 fuzzy sets and systems

Jerry M. Mendel
2007 Information Sciences  
In this state-of-the-art paper, important advances that have been made during the past five years for both general and interval type-2 fuzzy sets and systems are described.  ...  Interest in type-2 subjects is worldwide and touches on a broad range of applications and many interesting theoretical topics.  ...  This paper focuses on advances in T2 fuzzy sets and systems since the year 2001, because earlier works are already well documented, e.g. [47] . The focus is on theoretical and computational issues.  ... 
doi:10.1016/j.ins.2006.05.003 fatcat:wsk54skttbeutig4f2tqjanx5y

Fault Diagnosis in Dynamic Systems Using Fuzzy Interacting Observers

N. V. Kolesov
2013 Advances in Fuzzy Systems  
A method of fault diagnosis in dynamic systems based on a fuzzy approach is proposed.  ...  The new method possesses two basic specific features which distinguish it from the other known fuzzy methods based on the application of fuzzy logic and a bank of state observers.  ...  Let us divide 8 Advances in Fuzzy Systems the interval of the parameter values into subintervals {Θ + Θ +1 | = 1, }.  ... 
doi:10.1155/2013/874393 fatcat:y6pizn2sqjcsflptvi73jfpd5i

Fuzzy Set Field and Fuzzy Metric

Gebru Gebray, B. Krishna Reddy
2014 Advances in Fuzzy Systems  
The metric redefined is between fuzzy points and constitutes both fuzziness and crisp property of vector. In addition, a fuzzy magnitude of a fuzzy point in a field is defined.  ...  The notation of fuzzy set field is introduced. A fuzzy metric is redefined on fuzzy set field and on arbitrary fuzzy set in a field.  ...  In the sequel, a notion of magnitude of a fuzzy point in a field is introduced for the first time (up to our knowledge) and some of its properties are investigated. 2 Advances in Fuzzy Systems (ii) A fuzzy  ... 
doi:10.1155/2014/968405 fatcat:2gnl5feggbg7hei7ouswd54lxu

Minimal Solution of Complex Fuzzy Linear Systems

Xiaobin Guo, Ke Zhang
2016 Advances in Fuzzy Systems  
The complex fuzzy linear system is converted to equivalent high order fuzzy linear system Gx~=b~.  ...  This paper investigates the complex fuzzy linear equation Cz~=w~ in which C is a crisp complex matrix and w~ is an arbitrary LR complex fuzzy vector.  ...  In 2014, Behera and Chakraverty [27] discussed the fuzzy complex 2 Advances in Fuzzy Systems system of linear equations by the embedding method and redefined the complex fuzzy number [28] .  ... 
doi:10.1155/2016/5293917 fatcat:zihfwubitrak3h6hmp24r7tzpu

P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras

Wondwosen Zemene Norahun
2021 Advances in Fuzzy Systems  
In this paper, we introduce the concept of p-fuzzy ideals and p-fuzzy filters in a p-algebra.  ...  It is proved that the class of p-fuzzy ideals forms a complete distributive lattice. Moreover, we show that there is an isomorphism between the class of p-fuzzy ideals and p-fuzzy filter.  ...  Advances in Fuzzy Systems Natural and Computational Sciences, Department of Mathematics, Gondar. Ethiopia.  ... 
doi:10.1155/2021/4561087 doaj:4a5a2359d6174f808e20cf44b7be89ff fatcat:os6xf6v275gmbfg46q3e373rlm

On Fuzzy Soft Sets

B. Ahmad, Athar Kharal
2009 Advances in Fuzzy Systems  
Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.  ...  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  ...  Finally, Theorem 3 may also be generalized. 6 Advances in Fuzzy Systems Theorem 5. Let F = {(Λ i , Σ)|i ∈ I} be a family of fuzzy soft sets in a fuzzy soft class (X, E).  ... 
doi:10.1155/2009/586507 fatcat:z7qjct6dvndbxiblkh5ihvewji

Decision Making in a Fuzzy Environment [chapter]

1997 Advances in Fuzzy Systems — Applications and Theory  
The concept of Interval-Valued Fuzzy Numbers (IVFNs) combined with VIKOR method has been adapted in this analysis. vi  ...  This is to certify that the thesis entitled DECISION-MAKING IN FUZZY ENVIRONMENT submitted by Sri Chitrasen Samantra has been carried out under my supervision in partial fulfillment of the requirements  ...  ., 1987, "A method of inference in approximate reasoning based on interval-valued fuzzy sets", Fuzzy Sets and Systems, Vol. 21, No. 1, pp. 1-17.Cornelis, C., Deschrijver, G., and Kerre, E.E., 2006, "Advances  ... 
doi:10.1142/9789812819789_0004 fatcat:voi2wnm5h5d27ctawkdh6eozcu

Fuzzy Symmetric Solutions of Fuzzy Matrix Equations

Xiaobin Guo, Dequan Shang
2012 Advances in Fuzzy Systems  
The fuzzy symmetric solution of fuzzy matrix equationAX˜=B˜, in whichAis a crispm×mnonsingular matrix andB˜is anm×nfuzzy numbers matrix with nonzero spreads, is investigated.  ...  The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of matrices.  ...  Advances in Fuzzy Systems 7 Example 21.  ... 
doi:10.1155/2012/318069 fatcat:n472jnh2dng4nhuqxki4ctucsa

Fuzzy Reliability in Spatial Databases

Ferdinando Di Martino, Salvatore Sessa
2013 Advances in Fuzzy Systems  
We define a fuzzy process for evaluating the reliability of a spatial database: the area of study is partitioned in isoreliable zones, defined as homogeneous zones in terms of data quality and environmental  ...  We model a spatial database in thematic datasets; each thematic dataset concerns a specific spatial domain and includes a set of layers.  ...  Acknowledgment This work is performed in the context of the Project FARO 2010-2013 under the auspices of the "Polo delle Scienze e delle Tecnologie" dell'Università degli Studi di Napoli Federico II.  ... 
doi:10.1155/2013/107358 fatcat:jdf6g5o5yfbnpdglaxbutsovum

Decision Making in a Fuzzy Environment [chapter]

2007 Advances in Fuzzy Systems — Applications and Theory  
The concept of Interval-Valued Fuzzy Numbers (IVFNs) combined with VIKOR method has been adapted in this analysis. vi  ...  This is to certify that the thesis entitled DECISION-MAKING IN FUZZY ENVIRONMENT submitted by Sri Chitrasen Samantra has been carried out under my supervision in partial fulfillment of the requirements  ...  ., 1987, "A method of inference in approximate reasoning based on interval-valued fuzzy sets", Fuzzy Sets and Systems, Vol. 21, No. 1, pp. 1-17.Cornelis, C., Deschrijver, G., and Kerre, E.E., 2006, "Advances  ... 
doi:10.1142/9789812770622_0004 fatcat:7jaurelzsfdyfmomczs3j2354e
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