Re: Neutrosophic logic, a generalization of the fuzzy logic

vladik (vladik@cs.utep.edu)
Wed, 11 Aug 1999 18:56:23 +0200 (MET DST)

This sounds very much like intuitonistic fuzzy logic, where the definition of
an intuitionistic fuzzy set is a similar triple. There have been several papers
by Krassimir Atanassov and others in Fuzzy Sets and Systems and in other
journals, and a journal Notes on Intuitionstic Fuzzy Sets, and regular
conferences. Krassimir can be contacted at krat@bgcict.acad.bg

Vladik

> Date: Tue, 10 Aug 1999 12:16:35 +0200 (MET DST)
> Originator: fuzzy-mail@dbai.tuwien.ac.at
> From: Minh Perez <m_l_perez@yahoo.com>
> To: nafips-l@sphinx.gsu.edu
> Subject: Neutrosophic logic, a generalization of the fuzzy logic
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>
> The fuzzy logic has been generalized to the "neutrosophic logic" in
> the book: NEUTROSOPHY: NEUTROSOPHIC PROBABILITY,
> SET, AND LOGIC
> by Florentin Smarandache, American Research Press
> (Rehoboth, Box 141, NM 87322, USA,
> M_L_Perez@yahoo.com), ISBN 1-879585-63-4,
> 105 pages, 1998, in five chapters:
>
> 1. The Neutrosophy is a new branch of philosophy which
> studies the origin, nature, and scope of neutralities, as
> well as their interactions with different ideational spectra.
> Let's note by <A> an idea (or proposition, theory, event,
> concept, entity), by <Non-A> what is not <A>, and by <Anti-A>
> the opposite of <A>. Also, <Neut-A> means what is neither
> <A> nor <Anti-A>, i.e. neutrality in between the two extremes.
> The Fundamental Thesis: Any idea <A> is t% true, i%
> indeterminate, and f% false, where t+i+f = 100 and f,i,t 0
> [0, 100].
> The Fundamental Theory: Every idea <A> tends to be
> neutralized, diminished, balanced by <Non-A> ideas (not only
> <Anti-A> as Hegel asserted) - as a state of equilibrium. In
> between <A> and <Anti-A> there are infinitely many <Neut-A>
> ideas, which may balance <A> without necessarily <Anti-A>
> versions.
> To neuter an idea one must discover all its three sides: of
> sense (truth), of nonsense (falsity), and of undecidability
> (indeterminacy) - then reverse/combine them. Afterwards,
> the idea will be classified as neutrality.
> http://www.gallup.unm.edu/~smarandache/NeutroSo.txt
>
> 2. TransDisciplinarity (Multi-Space, Multi-Structure), a
> neutrosophic method.
> http://www.gallup.unm.edu/~smarandache/TransDis.txt
>
> 3. Neutrosophic Probability (as a generalization of the
> classical probability) studies the chance that a particular
> event <A> will occur, where that chance is represented by
> three coordinates (variables): t% true, i% indeterminate, and
> f% false, with t+i+f = 100 and f,i,t 0 [0, 100].
> Neutrosophic Statistics is the analysis of such events.
> http://www.gallup.unm.edu/~smarandache/NeutProb.txt
>
> 4. Neutrosophic Set (as a generalization of the fuzzy set)
> is a set such that an element belongs to the set with a
> neutrosophic probability, i.e. t% is true that the element is
> in the set, f% false, and i% indeterminate.
> If a proposition <A> is t% true, doesn't necessarily mean
> it is (100-t)% false as in fuzzy logic. There should also be a
> percent of indeterminacy on the logical values of <A>.
> A better approach is t% true, f% false, and i% indeterminate,
> where t+i+f = 100 and t,i,f 0 [0, 100], called neutrosophic
> logical value of <A>, and noted by n(A) = (t,i,f).
> http://www.gallup.unm.edu/~smarandache/NeutSet.txt
>
> 5. Neutrosophic Logic (as a generalization of the fuzzy
> logic) means the study of neutrosophic logical values of the
> propositions. There exist, for each individual one, PRO
> parameters, CONTRA parameters, and NEUTER parameters
> which influence the above values.
> Indeterminacy results from any hazard which may occur, from
> unknown parameters, or from new arising conditions.
> This resulted from practice.
> http://www.gallup.unm.edu/~smarandache/NeutLog.txt
>
> Applications:
> Neutrosophic logic is useful in artificial intelligence,
> neural networks, evolutionary programming, neutrosophic
> dynamic systems, and quantum theory.
>
> Can be ordered from the University of Microfilm International,
> 300 North Zeeb Road, P.O.Box 1346, Ann Arbor, Michigan
> 48106-1346, USA, Tel.: 1-800-521-0600, for $33.50.
Papers on
> this "neutrosophic logic" are welcome,
> and they will be published in a <Proceeding on the Neutrosophic Logic>.
> Also, a series of books are being publishing on this subject.
> Please send your manuscripts at the address:
> <Proceedings on the Nuetrosophic Logic>
> John Gilbert, editor
> American Research Press
> Rehoboth, Box 141, USA
>
>
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