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Proyeksi geometri fuzzy pada bidang

Suyudi, Mohammad Mahfud (2012) Proyeksi geometri fuzzy pada bidang. Undergraduate thesis, Universitas Islam Negeri Maulana Malik Ibrahim.

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Abstract

INDONESIA:

Geometri fuzzy merupakan perkembangan dari geometri tegas, yang mana pada geometri tegas unsur-unsurnya hanya ada dan tidak ada, pada geometri fuzzy unsur-unsur tersebut berkembang tidak hanya direpresentasikan dengan ada dan tidak ada, tetapi berkembang dengan ketebalan yang dimiliki oleh masing-masing unsur tersebut.

Proyeksi geometri tegas merupakan pembentukan bayangan suatu unsur geometri yang diproyeksikan terhadap unsur proyektor, dengan sifat tegak lurus yang diwakili oleh masing-masing unsurnya, pembahasannya difokuskan pada koordinat hasil proyeksi. Sedangkan proyeksi geometri fuzzy mempunyai pembahasan yang lebih luas, yang mencakup tentang koordinat hasil proyeksi, keeratan relasi masing-masing unsur dan ketebalan masing-masing unsur tersebut.

Penelitian ini dilakukan untuk mendeskripsikan dan menganalisis prosedur proyeksi geometri fuzzy pada bidang serta menjelaskan perbedaan antara proyeksi geometri tegas dan proyeksi geometri fuzzy pada bidang.

Proyeksi titik fuzzy ... terhadap garis fuzzy ..., dengan fungsi derajat keanggotaan keeratan relasi ... mempunyai hasil proyeksi ..., dengan ... merupakan derajat keanggotaan ketebalan garis ... Sedangkan proyeksi garis fuzzy ... terhadap garis fuzzy ... dengan fungsi derajat keanggotaan keeratan relasi ... mempunyai hasil ..., dengan ... merupakan derajat keanggotaan ketebalan garis ...

ENGLISH:

Fuzzy geometry is an outgrowth of crisp geometry, which in crisp geometry elements are exist and not exist, while on fuzzy geometry elements are developed not only represented by exist and not exist, but also by thickness which is owned by each of these elements.

Projection of crisp geometry is the formation of a shadow of geometries element projected on the projectors element, with perpendicular properties which are represented by their respective elemental, the discussion focused on the results of the projection coordinates. While the projection of fuzzy geometry have richer
discussion, which includes about coordinates of projection results, the mutual relation of each element and the thickness of each element. This research was
conducted to describe and analyzing procedure of projection of fuzzy geometry on plane and explain the differences between Projection of crisp geometry and
projection of fuzzy geometry on plane.

Projections of fuzzy point ... to fuzzy line ... with function of degree of membership relations ... to have result ... with μ... is the degree of membership thickness of ... Projections of fuzzy line ... to fuzzy line ... with function of degree of membership relations μ... to
have result ... with μ... is the degree of membership
thickness of ...

Item Type: Thesis (Undergraduate)
Supervisor: Alisah, Evawati and Rozi, Fachrur
Contributors:
ContributionNameEmail
UNSPECIFIEDAlisah, EvawatiUNSPECIFIED
UNSPECIFIEDRozi, FachrurUNSPECIFIED
Keywords: Geometri Fuzzy; Relasi Fuzzy; Proyeksi Geometri Fuzzy; Fuzzy Geometry; Fuzzy Relations; Projection of Fuzzy Geometry
Departement: Fakultas Sains dan Teknologi > Jurusan Matematika
Depositing User: Prameswari Nurjannah
Date Deposited: 18 May 2017 14:03
Last Modified: 18 May 2017 14:03
URI: http://etheses.uin-malang.ac.id/id/eprint/6655

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