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A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces

Taha Yasin Ozturk, Tugba Han Dizman (Simsekler)
2019 Zenodo  
In this study, we re-define some operations on bipolar neutrosophic soft sets differently from the studies [2]. On this operations are given interesting examples and them basic properties.  ...  Finally, we introduce basic definitions and theorems on bipolar neutrosophic soft topological spaces  ...  In addition, basic properties of these operations was presented. ( ))⟩: ∈ ): ∈ } for = 1,2 be two bipolar neutrosophic soft sets over .  ... 
doi:10.5281/zenodo.3569624 fatcat:2fjn4xe3dzdafchxkeh43lfypa

Some interconnections between modern algebra and mathematical logic

Leon Henkin
1953 Transactions of the American Mathematical Society  
Thus, every finite subset of A is satisfied by some model from the complement of P, and hence every finite subset drawn from the union of A and T is satisfied (by a model of 0).  ...  Higher order languages contain constants denoting, and variables ranging over, sets whose elements may be sets or functions of model elements, as well as functions and relations defined over sets or functions  ... 
doi:10.1090/s0002-9947-1953-0055287-x fatcat:v4myi2s4pne6lg3j4vxj4x3iyi

Some Interconnections Between Modern Algebra and Mathematical Logic

Leon Henkin
1953 Transactions of the American Mathematical Society  
Basic sentences are formed by placing an equality sign between two terms, and further sentences are built up from these basic ones in the following ways.  ...  First we provide two symbols, " + " and " ■," to be used as names of the operations. Next we wish to have symbols (called individual constants) which can be used as names of particular elements in D.  ...  Thus, every finite subset of A is satisfied by some model from the complement of P, and hence every finite subset drawn from the union of A and T is satisfied (by a model of 0).  ... 
doi:10.2307/1990810 fatcat:ag4euyulvjbdvjaocpjkto2ta4

Infinite behaviour and fairness in concurrent constraint programming [chapter]

Marta Kwiatkowska
1993 Lecture Notes in Computer Science  
It allows the actions ask and tell, the pre x operator !, the (angelic) non-deterministic choice operator , the procedure call p(X), and the concurrency operator k.  ...  Subsequently, we provide semantic, topological de nitions of safety, liveness and fairness properties in a given constraint system.  ...  ACKNOWLEDGEMENTS The author would like to acknowledge the AP1 group at CWI, especially Jaco de Bakker, Jan Rutten, Katuscia Palamidessi, Frank de Boer and Jeroen Warmerdam for a stimulating environment  ... 
doi:10.1007/3-540-56596-5_40 fatcat:5jxmku25rbg6dceqezo3wfa4wu

Topology and Epistemic Logic [chapter]

Rohit Parikh, Lawrence S. Moss, Chris Steinsvold
2007 Handbook of Spatial Logics  
In the former area, we would like to present the basic ideas and results of topologic, the study of two-sorted bimodal logical systems interpreted on subset spaces; these are arbitrary sets with collections  ...  of subsets called opens.  ...  We thank Guram Bezhanishvili, Bernhard Heinemann, Eric Pacuit and Johan van Benthem for comments.  ... 
doi:10.1007/978-1-4020-5587-4_6 fatcat:idbw2efabngy3lhda3jhbmhsqm

Representing Temporal Knowledge in the Semantic Web: The Extended 4D Fluents Approach [chapter]

Sotiris Batsakis, Euripides G. M. Petrakis
2011 Smart Innovation, Systems and Technologies  
Representing information that evolves in time in ontologies, as well as reasoning over static and dynamic ontologies are the areas of interest in this work.  ...  Existing approaches allow for representations of temporal information, but do not support representation of qualitative relations and reasoning.  ...  TOQL follows an SQL-like syntax (SELECT-FROM-WHERE) and supports SQL operators and constructs such as LIMIT, OFFSET, AND, OR,MINUS, UNION, UNION ALL, INTERSECT, EXISTS, ALL, ANY, IN.  ... 
doi:10.1007/978-3-642-19618-8_4 fatcat:vggndpwpfbhpbmpqy7x4f6vjay

A metamodeling language supporting subset and union properties

Marcus Alanen, Ivan Porres
2007 Journal of Software and Systems Modeling  
The Meta Object Facility (MOF) 2.0 and the Unified Modeling Language Infrastructure introduce new language features such as subsets, (derived) unions and redefinitions, but without a precise semantics.  ...  We give our understanding of these new language features by formalizing the structural constraints imposed by subsets and unions on metamodels and models using Liskov substitutability as the main criterion  ...  Coral is open source and available at http://mde.abo.fi. The basic model operations over models containing subset properties are defined in [2] .  ... 
doi:10.1007/s10270-007-0049-9 fatcat:5ioa7x5al5gp3caztpxoi373uq

Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties

Rana Muhammad Zulqarnain, Xiao Long Xin, Muhammad Saqlain, Muhammad Saeed, Florentin Smarandache, Muhammad Irfan Ahamad
2021 Zenodo  
We also developed some basic operations on IVNHSS such as union, intersection, addition, difference, Truth-favorite, and False-favorite, etc. with their desirable properties.  ...  Finally, the necessity and possibility operations on IVNHSS with properties are presented in the following research  ...  We present different operators on IVNHSS such as union, intersection, addition, difference, extended union, extended intersection, truth-favorite, and false-favorite operations in section 3 with properties  ... 
doi:10.5281/zenodo.4549352 fatcat:b57erxbh6ram7g3qlqqdqga2m4

Page 21 of Mathematical Reviews Vol. 51, Issue 1 [page]

1976 Mathematical Reviews  
Intersection distributes over union and vice versa.  ...  The properties of union, intersection, difference, and symmetric difference are studied.  ... 

VAlloy — Virtual Functions Meet a Relational Language [chapter]

Darko Marinov, Sarfraz Khurshid
2002 Lecture Notes in Computer Science  
Models in VAlloy are automatically translated into Alloy and can be automatically checked using the existing Alloy Analyzer.  ...  Alloy is suitable for modeling structural properties of object-oriented software. However, Alloy lacks support for dynamic dispatch, i.e., function invocation based on actual parameter types.  ...  We would like to thank Manu Sridharan and Ang-Chih Kao for comments on an earlier draft of this paper. This work was funded in part by ITR grant #0086154 from the National Science Foundation.  ... 
doi:10.1007/3-540-45614-7_14 fatcat:dtprxs3sx5dmdbdlz5bb4rm6ye

Interpreter fr topologists [article]

Jindrich Zapletal
2017 arXiv   pre-print
Let M be a transitive model of set theory.  ...  , functional analysis, and dynamics.  ...  To find the spaceX , consider the union B of all interpretations of ground model Borel subsets of P(ω <ω ) containing only illfounded trees.  ... 
arXiv:1711.08962v1 fatcat:xu2vhpe6prbfhlqa3y2rzpthpu

Measures and forking

H.Jerome Keisler
1987 Annals of Pure and Applied Logic  
Methods from ordinary forking theory and the Loeb measure construction from nonstandard analysis are used.  ...  This allows us to extend the method of forking from the class of stable theories to the larger class of theories which do not have the independence property.  ...  By taking unions of basic subsets of X~, we may restrict our consideration to finite subsets of P which mention at most one basic subset Zi of X/for finitely many i e I and are such that Ii increases as  ... 
doi:10.1016/0168-0072(87)90069-8 fatcat:jaakld5irne3verldarunyp2ly

Granular Computing using Neighborhood Systems [chapter]

Y. Y. Yao
1999 Advances in Soft Computing  
Operations on neighborhood systems, such as complement, intersection, and union, are defined by extending set-theoretic operations.  ...  Using this framework, we examine the notions of rough sets and qualitative fuzzy sets.  ...  If a binary operation g is distributive over f , g + may not be distributive over f + . A neighborhood system is a family of subsets of the universe U .  ... 
doi:10.1007/978-1-4471-0819-1_40 fatcat:vmov5qlukza7hkej6ovfj2iusa

A Semantical Approach to Rough Sets and Dominance-Based Rough Sets [chapter]

Lynn D'eer, Chris Cornelis, Yiyu Yao
2016 Communications in Computer and Information Science  
In this paper, we focus on a semantically sound approach of Pawlak's rough set model and covering-based rough set models.  ...  There exist two formulations of rough sets: the conceptual and computational one.  ...  This work was partially supported by the Spanish Ministry of Science and Technology under the Project TIN2014-57251-P and the Andalusian Research Plans P10-TIC-6858, P11-TIC-7765 and P12-TIC-2958.  ... 
doi:10.1007/978-3-319-40581-0_3 fatcat:wo4r6skfivgqhc45nmoio66u2q

Logics for hybrid systems

J.M. Davoren, A. Nerode
2000 Proceedings of the IEEE  
The high-profile and safety-critical nature of the application areas has fostered a large and growing body of work on formal methods for hybrid systems: mathematical logics, computational models and methods  ...  Such mathematical models have proved fruitful in a great diversity of engineering applications, including air-traffic control, automated manufacturing, and chemical process control.  ...  ACKNOWLEDGMENT The authors' view of hybrid systems and logics for reasoning about them has benefited from fruitful conversations and exchanges with many people; in particular, they would like to thank  ... 
doi:10.1109/5.871305 fatcat:vsxl3q7h6rfcvbtxy4mmfnc7oi
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