Talk:Monotonicity
Talk:Monotonicity There are now two articles on monotonicity, the other one being monotonic function. Monotonic ... might therefore be good to include the "monotonicity" article into the structure of "monotonic function ... deal with "commensurate difference functions" and "equal monotonicity" (which is clearly different from monotonicity in the general sense)? Are there ...
http://en.wikipedia.org/wiki/Talk:Monotonicity - 19k - Cached - Similar pages

Monotonicity criterion
Monotonicity criterion This article is about a voting ... monotonic function for a mathematical notion. The monotonicity criterion is a voting system criterion used ... satisfies one of the definitions of the monotonicity criterion, given below. Douglas Woodall, calling the ... the other candidates. Mike Ossipoff defines the monotonicity criterion as: If an alternative X loses ... a voting system is monotonic. Clearly, non-monotonicity is very counter-intuitive, although some ...
http://en.wikipedia.org/wiki/Monotonicity_criterion - 8k - Cached - Similar pages

Monotonicity of entailment
Monotonicity of entailment Monotonicity of entailment is a property of many ...
http://en.wikipedia.org/wiki/Monotonicity_of_entailment - 2k - Cached - Similar pages

Talk:Monotonicity criterion
Talk:Monotonicity criterion Rights on the text From the ... Anon. Don't confuse Condorcet criterion and monotonicity criterion The comment that "several variants of ... connection between the Condorcet criterion and the Monotonicity criterion. If you only want to say that the Condorcet criterion and the Monotonicity criterion are compatible, then it is sufficient ... fact that CSSD and MAM satisfy the Monotonicity criterion must only be used to ...
http://en.wikipedia.org/wiki/Talk:Monotonicity_criterion - 30k - Cached - Similar pages

Talk:Instant-runoff voting/archive1
... in that it does not satisfy the monotonicity criterion. (...) It must be noted that the ... not true that the Condorcet criterion implies Monotonicity. (You should always make clear when you ... a fact is. "IRV violates Condorcet and Monotonicity" is a fact while "Condorcet reduces or ... thus make definite statements. (such as Condorcet/monotonicity criterion compliance). So, you're completely on ... it." Nope! Examples: "IRV violates Condorcet and Monotonicity" is a fact and not an ...
http://en.wikipedia.org/wiki/Talk:Instant-runoff_voting/archive1 - 150k - Cached - Similar pages

Talk:Arrow's impossibility theorem
... 2-members restriction. (But you do need monotonicity to prove this.) The no-dictatorship property ... UTC) Oh yes - of course you need monotonicity - otherwise the method could simply give the ... decisions to delete far superior definition of monotonicity had been made. I wrote to debian ... This statement is stronger, because assuming both monotonicity and independence of irrelevant alternatives implies Pareto ... his or her true preferences. from the monotonicity criterion, because this is not equivalent. ...
http://en.wikipedia.org/wiki/Talk:Arrow's_impossibility_theorem - 42k - Cached - Similar pages

Monotonic function
... the related property of voting systems, see monotonicity criterion. For the modern Greek writing system ... function is one that preserves the order. Monotonicity in calculus and analysis In calculus, there ... the order ≤ in the definition of monotonicity is replaced by the strict order <, then ... point (the mode) and then monotonically decreasing. Monotonicity in order theory In order theory, one ... In these cases, the above definition of monotonicity is relevant as well. However, the ...
http://en.wikipedia.org/wiki/Monotonic_function - 10k - Cached - Similar pages

Fuzzy set operations
... 1 and c(1) = 0 Axiom c2. Monotonicity For all a, b ∈ [0, 1 ... condition i(a, 1) = a Axiom i2. Monotonicity b ≤ d implies i(a, b ... condition u(a, 0) = a Axiom u2. Monotonicity b ≤ d implies u(a, b ... u(a, a) > a Axiom u7. strict monotonicity a 1 < a 2 and b 1 ... h(1, 1, ..., 1) = 1 Axiom h2. monotonicity For any pair
http://en.wikipedia.org/wiki/Fuzzy_set_operations - 6k - Cached - Similar pages

User talk:Mousomer
... 51, September 3, 2005 (UTC) non-imposition & monotonicity => Pareto Hi -- thanks for your comment. I ... may need to clarify the definition of monotonicity in the article. The way I understand ... you may have a stronger definition of monotonicity in mind. Consider a single-individual society ... of irrelevant alternatives. As I understand the monotonicity definition in the article, however, it is ... should be clarified in the definition of monotonicity. Joriki 09:54, 6 October 2005 ( ...
http://en.wikipedia.org/wiki/User_talk:Mousomer - 4k - Cached - Similar pages

Single Transferable Vote
... modern STV systems by exploiting the non-monotonicity in this way can be computationally difficult ... when an STV election has violated the monotonicity criterion, greatly reducing the likelihood that the ... vote-based ordering systems) as well as monotonicity. Failure to satisfy independence of irrelevant alternatives ... effect is more pronounced and predictable. Non-monotonicity, in turn, makes it possible under some ... have been proposed in order to pass monotonicity and other criteria. The most common ...
http://en.wikipedia.org/wiki/Single_Transferable_Vote - 71k - Cached - Similar pages