Ubaidillah, Muhammad Izzat (2012) Proyeksi geometri fuzzy pada ruang. 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 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 derajat keanggotaan masing- masing unsur tersebut. Penelitian ini dilakukan untuk mendeskripsikan dan menganalisis prosedur proyeksi geometri fuzzy pada ruang serta menjelaskan perbedaan antara proyeksi geometri tegas dan proyeksi geometri fuzzy pada ruang.
Proyeksi titik fuzzy ... terhadap garis fuzzy ... dengan fungsi derajat keanggotaan keeratan ... relasi ... mempunyai hasil proyeksi ... dengan ... merupakan derajat keanggotaan ketebalan garis ... proyeksi titik fuzzy ... terhadap bidang fuzzy ... dengan fungsi derajat keanggotaan keeratan relasi ... mempunyai hasil ... dengan ... merupakan derajat keanggotaan ketebalan bidang ... dan proyeksi garis fuzzy ... terhadap bidang fuzzy ... dengan fungsi derajat keanggotaan keeratan relasi ... mempunyai hasil ... dengan ... merupakan derajat keanggotaan ketebalan bidang ...
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 by thickness which is owned by each of these elements.
Crisp projection geometries 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 fuzzy projective geometries 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 fuzzy projective geometries on the space and explain the differences between crisp projection geometries and fuzzy
projection geometries on space.
Projections of fuzzy point ... to fuzzy line ... , with function of degree of membership relations ... , to have result ..., with ... is the degree of membership thickness of P′, Projections of fuzzy point ... to fuzzy plane ..., with function of degree of membership relations ..., to have result ... is the degree of membership thickness of P′, and
Projections of fuzzy line ... to fuzzy plane ..., with function of degree of membership
relations ..., to have result ..., with ... is
the degree of membership thickness of ...
Item Type: | Thesis (Undergraduate) | |||||||||
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Supervisor: | Alisah, Evawati and Abidin, Munirul | |||||||||
Contributors: |
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Keywords: | Geometri Fuzzy; Relasi Fuzzy; Proyeksi geometri Fuzzy; Fuzzy Geometry; Fuzzy Relations; Fuzzy Geometry Projection | |||||||||
Departement: | Fakultas Sains dan Teknologi > Jurusan Matematika | |||||||||
Depositing User: | Prameswari Nurjannah | |||||||||
Date Deposited: | 17 May 2017 11:24 | |||||||||
Last Modified: | 17 May 2017 11:24 | |||||||||
URI: | http://etheses.uin-malang.ac.id/id/eprint/6552 |
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