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What (who) is fuzzy distance - definition

SYSTEM FOR REASONING ABOUT VAGUENESS

Fuzzy Logic; Fuzzy logician; Formal fuzzy logic; Fuzzy transportation; Fuzzy Transportation; Fuzzy logics; Fuzzy databases; Applications of fuzzy logic; Compensatory fuzzy logic; Fuzzy inference; Fuzzy inference system; Linguistic variable (fuzzy logic); Zadeh operator; Fuzzy Turing machine; Fuzzy database; Fuzzy relational database; Propositional fuzzy logic; Gödel fuzzy logic; Product fuzzy logic; Probability and fuzzy logic; Fuzzy logic and probability

fuzzy subset

SETS WHOSE ELEMENTS HAVE DEGREES OF MEMBERSHIP

Fuzzy sets; Fuzzy set theory; Fuzzification; Fuzzy subset; Credibility(fuzzy); Fuzzy category; Goguen category; Fuzzy Sets; Fuzzy relation equation; Pythagorean fuzzy set; Degree of membership; Uncertain set

In fuzzy logic, a fuzzy subset F of a set S is defined by a "membership function" which gives the degree of membership of each element of S belonging to F.

Distance

LENGTH OF STRAIGHT LINE THAT CONNECTS TWO POINTS IN A MEASURABLE SPACE OR IN AN OBSERVABLE PHYSICAL SPACE

Distances; Distance Formula; Distance in time; Time distance; Directed distance; Distance traveled; Oriented distance; Distance (mathematics); Distance between sets

·noun Remoteness of place; a remote place.

II. Distance ·vt To place at a distance or remotely.

III. Distance ·noun Space between two antagonists in fencing.

IV. Distance ·noun Ideal disjunction; discrepancy; contrariety.

V. Distance ·noun A space marked out in the last part of a race course.

VI. Distance ·vt To cause to appear as if at a distance; to make seem remote.

VII. Distance ·noun The interval between two notes; as, the distance of a fourth or seventh.

VIII. Distance ·noun Length or interval of time; period, past or future, between two eras or events.

IX. Distance ·noun The remoteness or reserve which respect requires; hence, respect; ceremoniousness.

X. Distance ·noun A withholding of intimacy; alienation; coldness; disagreement; variance; restraint; reserve.

XI. Distance ·noun Remoteness in succession or relation; as, the distance between a descendant and his ancestor.

XII. Distance ·vt To outstrip by as much as a distance (see Distance, ·noun, 3); to leave far behind; to surpass greatly.

XIII. Distance ·noun The part of a picture which contains the representation of those objects which are the farthest away, ·esp. in a landscape.

XIV. Distance ·noun Relative space, between troops in ranks, measured from front to rear;

- contrasted with interval, which is measured from right to left.

XV. Distance ·noun The space between two objects; the length of a line, especially the shortest line joining two points or things that are separate; measure of separation in place.

distance

LENGTH OF STRAIGHT LINE THAT CONNECTS TWO POINTS IN A MEASURABLE SPACE OR IN AN OBSERVABLE PHYSICAL SPACE

Distances; Distance Formula; Distance in time; Time distance; Directed distance; Distance traveled; Oriented distance; Distance (mathematics); Distance between sets

¦ noun

1. the length of the space between two points: I cycled the short distance home.

2. the condition of being remote.

a far-off point.

3. the full length of a race or other contest.

Brit. Horse Racing a space of more than twenty lengths between two finishers in a race.

(the distance) Brit. Horse Racing a length of 240 yards from the winning post on a racecourse.

4. an interval of time.

5. aloofness or reserve.

¦ verb make distant.

?(often distance oneself from) dissociate or separate.

Phrases

go the distance last or continue to participate until the scheduled end of a contest.

keep one's distance stay far away.

?maintain one's reserve.

Origin

ME (in the sense 'discord, debate'): from OFr. or from L. distantia, from distant-, distare (see distant).

Wikipedia

Fuzzy logic

Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. By contrast, in Boolean logic, the truth values of variables may only be the integer values 0 or 1.

The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by Iranian Azerbaijani mathematician Lotfi Zadeh. Fuzzy logic had, however, been studied since the 1920s, as infinite-valued logic—notably by Łukasiewicz and Tarski.

Fuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical information. Fuzzy models or fuzzy sets are mathematical means of representing vagueness and imprecise information (hence the term fuzzy). These models have the capability of recognising, representing, manipulating, interpreting, and using data and information that are vague and lack certainty.

Fuzzy logic has been applied to many fields, from control theory to artificial intelligence.

https://en.wikipedia.org/wiki/Fuzzy logic