Download E-books Fuzzy Quantifiers: A Computational Theory (Studies in Fuzziness and Soft Computing) PDF

By Ingo Glöckner

From a linguistic point of view, it really is quanti?cation which makes the entire di?- ence among “having no cash” and “having loads of dollars”. And it's the that means of the quanti?er “most” which ultimately comes to a decision if “Most Ame- cans voted Kerry” or “Most americans voted Bush” (as it stands). normal language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant objective simply because they enable us to talk about homes of collections, in place of describing speci?c members basically; in technical phrases, qu- ti?ers are a ‘second-order’ build. therefore the quantifying assertion “Most americans voted Bush” asserts that the set of citizens of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething a couple of speci?c person. through describing collections instead of participants, quanti?ers expand the expressive strength of normal languages some distance past that of propositional good judgment and lead them to a common verbal exchange medium. accordingly language seriously will depend on quantifying structures. those frequently contain fuzzy ideas like “tall”, and so they usually consult with fuzzy amounts in contract like “about ten”, “almost all”, “many” and so on. that allows you to make the most this expressive strength and make fuzzy quanti?cation to be had to technical purposes, a couple of proposals were made easy methods to version fuzzy quanti?ers within the framework of fuzzy set conception. those methods often lessen fuzzy quanti?cation to a comparability of scalar or fuzzy cardinalities [197, 132].

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