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Ibrahim Senturk, Tahsin Oner
2018 Journal of Pure and Applied Mathematics: Advances and Applications  
In this paper, we mention about the significance of the independence of axiomatic systems and how is obtained.  ...  Afterwards, we scrutinize the independence of the axiomatic system of effect algebras which is given by Foulis and Bennett [6] .  ...  We prove here that the axioms (E1) through (E4) are independent. To see this, we construct a model for each axiom in which that axiom is false while the others are true.  ... 
doi:10.18642/jpamaa_7100121912 fatcat:aeepkugtpnb63nue43b2yrg3iq

Characterizing NTU-bankruptcy rules using bargaining axioms

Bas Dietzenbacher, Hans Peters
2020 Annals of Operations Research  
In particular, we derive new axiomatic characterizations of the proportional rule, the truncated proportional rule, and the constrained relative equal awards rule, using properties which concern changes  ...  in the estate or in the claims.  ...  The relations between all estate axioms can be summarized by the following diagram. The axioms independence of irrelevant alternatives and independence of undominating alternatives are independent.  ... 
doi:10.1007/s10479-020-03828-w fatcat:oecoaucyrjc3dakmggbotkungi

On the consistency and independence of some set-theoretical axioms

Alexander Abian, Samuel LaMacchia
1978 Notre Dame Journal of Formal Logic  
, Replacement, and Power-Set is independent from the remaining four axioms.  ...  The abovementioned axioms are five of the six axioms of the Zermelo-Fraenkel Theory of Sets, the sixth being Axiom of Infinity.  ...  Thus, in the model given by (9) and (10), equal sets are not elements of the same sets. Hence, the Axiom of Extensionality is not valid.  ... 
doi:10.1305/ndjfl/1093888220 fatcat:ulcqzp2byfbshgozggfl6zdbgu

Basic independence axioms for the publication-citation system

Ronald Rousseau, Fred Ye
2012 Journal of Scientometric Research  
Among the indicators considered here only the number of publications and the number of citations satisfy the requirements of this axiom. Weaker forms of the basic independence axiom are considered.  ...  Following the idea of the Bouyssou-Marchant independence axiom, a basic independence axiom for an indicator is introduced.  ...  ACKNOWLEDGEMENT We acknowledge the National Natural Science Foundation of China (NSFC Grant No No.7101017006 and 71173187) for financial support. The authors thank Raf Guns for useful remarks.  ... 
doi:10.5530/jscires.2012.1.6 fatcat:pva5dbpkc5daxbshbpqzxnmsli

Ranking Opportunity Sets, Indirect Utility and Indifferences

Tom Potoms, Luc Lauwers
2012 Social Science Research Network  
If the best alternatives are equally good, then we count the number of maximal options in both sets.  ...  One of the axioms, which we label simple indirect preference, requires for each pair x and y of different options, that x is equally good as y =⇒ {x, y} is ranked above {y}.  ...  or larger than k are equally good: when the k + 1'th option becomes available the level of well-being does not increase.  ... 
doi:10.2139/ssrn.2159172 fatcat:dyknqziqkbgzjmmdlabhva62oi

Evaluation of Arguments in Weighted Bipolar Graphs [chapter]

Leila Amgoud, Jonathan Ben-Naim
2017 Lecture Notes in Computer Science  
We introduce axioms that an evaluation method (or semantics) could satisfy. Such axioms are very useful for judging and comparing semantics.  ...  We then analyze existing semantics on the basis of our axioms, and finally propose a new semantics for the class of acyclic graphs.  ...  Similarly, when the attack relation is empty, the axiom coincides with strengthening axiom in [10] . Almost all axioms are independent, i.e., they do not follow from others.  ... 
doi:10.1007/978-3-319-61581-3_3 fatcat:n35naoydrzhbtdnile7obi6xqm

Sharpening independence results for Huntington's affine geometry [article]

Jesse Alama
2013 arXiv   pre-print
the same intended class of structures, which employs weak betweenness (the arguments are permitted to be equal).  ...  We carry out a systematic investigation of the strict notion of betweenness that Huntington employs (the three arguments are supposed to be distinct) by comparing it to McPhee's three axiom systems for  ...  Acknowledgements The results reported here were achieved thanks to the hard work that goes into developing and maintaining a number of automated reasoning systems, in particular the  ... 
arXiv:1312.4317v1 fatcat:pz7avw34qremhalk35soj5ajm4

Characterizing NTU-Bankruptcy Rules Using Bargaining Axioms

Bas Dietzenbacher, Hans Peters
2018 Social Science Research Network  
In particular, we derive new axiomatic characterizations of the proportional rule, the truncated proportional rule, and the constrained relative equal awards rule using properties which concern changes  ...  in the estate or the claims.  ...  and independence of unclaimed alternatives are independent of any claims axiom.  ... 
doi:10.2139/ssrn.3118951 fatcat:urcgeks4cnex5ir3r5wnskqpge

The Axiomatic Approach to Population Ethics

Charles Blackorby, Walter Bossert, David Donaldson
2003 Politics, Philosophy and Economics  
In addition, the two alternatives are equally good if and only if their values are the same. Not all population principles that satisfy our basic axioms have value functions.  ...  If critical levels are not all the same, utility independence is satisfied but existence independence is not.  ... 
doi:10.1177/1470594x030023004 fatcat:lnmcipmkona33npomisor53t3m

Ranking Opportunity Sets, Averaging Versus Preference for Freedom

Tom Potoms, Luc Lauwers
2013 Social Science Research Network  
Axioms that involve no more than two alternatives capture the differences between the two rules. JEL Classification Number: D71, D81.  ...  First, a modified version of indirect utility takes into account the number of maximal elements in the opportunity set. This rule meets Puppe's axiom of preference for freedom.  ...  By repeated application of independence we obtain that {a 1 } and A are equally good.  ... 
doi:10.2139/ssrn.2381534 fatcat:4drsp2ijsjcqdhhyzky4nq6ka4

Page 79 of Mathematical Gazette Vol. 3, Issue 47 [page]

1904 Mathematical Gazette  
nNOS it tu ON THE AXIOMS AND POSTULATES. 79 be reproduced, for the reason that, if they are not new, they are not generally known.  ...  It also follows from the axiom that all or none of the straight lines of the plane are closed. If they are not closed two straight lines through a point A do not cut again.  ... 

Page 116 of MIND Vol. 6, Issue 21 [page]

1897 MIND  
If this axiom were really independent of division into units, it would hold equally of intensive quantities, but this is not the case. The sum of two temperatures, for example, is meaningless.  ...  Chapters i. and ii. of this book give the axioms of equality and addition, which are declared a priori, and are stated in a form apparently free from reference to number.  ... 

A new single transferable vote method and its axiomatic justification

Fuad Aleskerov, Alexander Karpov
2012 Social Choice and Welfare  
The results are extended to the methods, allowing fractional numbers of votes.  ...  We also propose a modification for quota definition that improves the theoretical properties of the procedures. The method is justified by utilising a new set of axioms.  ...  Acknowledgements The partial support of the Academic Foundation of the National Research University Higher School of Economics (project # 10-04-0030) and the International Laboratory of Decision Choice  ... 
doi:10.1007/s00355-011-0642-2 fatcat:fxipfbst6bhaliq4uoewapy3j4

Rényi entropy yields artificial biases not in the data and incorrect updating due to the finite-size data

Thomas Oikonomou, G. Baris Bagci
2019 Physical review. E  
It is demonstrated that this is so because it does not conform to the system and subset independence axioms of Shore and Johnson.  ...  We finally show that the escort averaged constraints do not remedy the situation.  ...  T.O. acknowledges the state-targeted program "Center of Excellence for Fundamental and Applied Physics" (BR05236454) by the Ministry of Education and Science of the Republic of Kazakhstan.  ... 
doi:10.1103/physreve.99.032134 fatcat:dmrhxb4mezb7zocpuktm2frx7e

Boole cebirleri için bağımsız aksiyom kümeleri

Tahsin ÖNER
2018 Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi  
Also we prove the independence of three axioms, proposed by Huntington and then by Robbins, which form a minimal set of axioms for Boolean algebras.  ...  In this work, we review axiomatic systems and prove some of the equivalent axiomatizations of Boolean algebras.  ...  Hence the left sides of (1) and (4) are equal by commutativity, so the right sides must also be equal, and this gives (B 5 ).  ... 
doi:10.25092/baunfbed.433895 fatcat:fn3guokrwzevbnb6pl6kvlf6eu
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