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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Jurnal Fourier Jurnal Matematika Sains dan Teknologi BAREKENG: Jurnal Ilmu Matematika dan Terapan FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Jurnal Pengabdian Kepada Masyarakat (Mediteg) Jurnal Pengabdian Pada Masyarakat Jurnal Matematika Integratif
Saman Abdurrahman
Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat
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Journal : Jurnal Matematika Sains dan Teknologi

 1 
ω – SUBSEMIRING FUZZY Saman Abdurrahman
Jurnal Matematika Sains dan Teknologi Vol. 21 No. 1 (2020)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v21i1.673.2020

Abstract

Mapping ρ is called a fuzzy subset of an empty set of S if ρ is the mapping from S to the closed interval [0,1]. A fuzzy subset ρ introduced into this paper is a fuzzy subset of semiring S, defined byρ(a+d)≥ρ(a)∧ρ(d) and ρ(ad)≥ρ(a)∧ρ(d),for each a,d∈S so that a fuzzy subset ρ is called a fuzzy subsemiring from a semiring S.In this paper, Investigated the basic nature of subsemi-ring fuzzy ρ from a semiring S, which includes intersecting with two or more fuzzy subsemiring from a semiring S, is always a fuzzy subsemiring from a semiring S. Moreover, it was introduced to the concept of ω – fuzzy subsemiring from a semiring S which is denoted by ρω. Finally, investigated the minimal conditions that guarantee the existence of ω – fuzzy subsemiring ρω and the intersection of two or more ω – fuzzy subsemiring ρω of a semiring, S is always an ω – fuzzy subsemiring ρω of a semiring S. Pemetaan disebut subset fuzzy dari himpunan tidak kosong jika merupakan pemetaan dari ke interval tutup . Subset fuzzy yang diibahas pada paper ini adalah subset fuzzy dari semiring , yang memenuhi kondisi dan , untuk setiap sedemikian sehingga subset fuzzy disebut subsemiring fuzzy dari semiring . Pada paper ini, diselidiki sifat dasar dari subsemiring fuzzy dari semiring , yang meliputi irisan antara dua atau lebih subsemiring fuzzy dari semiring selalu merupakan subsemiring fuzzy dari semiring . Selain itu, pada paper ini diperkenalkan konsep – subsemiring fuzzy dari semiring , yang dinotasikan dengan . Akhirnya, diselidiki kondisi minimal yang menjamin eksistensi dari – subsemiring fuzzy , dan irisan dua atau lebih – subsemiring fuzzy dari semiring selalu merupakan – subsemiring fuzzy dari semiring .
KARAKTERISTIK MATRIKS SOFT Saman Abdurrahman; Thresye Thresye
Jurnal Matematika Sains dan Teknologi Vol. 21 No. 2 (2020)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v21i2.1042.2020

Abstract

A soft set is a concept of the set that plays an essential role in overcoming vagueness. The soft set is an extension of the fuzzy set concept. One of the products of the soft set is a soft matrix. A soft matrix is a matrix formed into a soft set's membership value whose entries are elements at {0,1}. This paper aims to introduce operations on soft matrices, i.e., intersection, union, and complements. Further, algebraic properties of soft matrix operations were investigated, commutative, associative, distributive laws, De Morgan’s laws, and absorption. Himpunan soft merupakan suatu konsep himpunan yang berperan penting dalam mengatasi ketidakpastian. Himpunan soft merupakan perluasan dari konsep himpunan fuzzy. Salah satu produk dari himpunan soft adalah matriks soft. Matriks soft adalah matriks yang dibentuk dari nilai keanggotaan himpunan soft yang entri-entrinya elemen di {0,1}. Paper ini, bertujuan memperkenalkan operasi-operasi pada matriks soft, yaitu irisan, gabungan, dan komplemen. Lebih lanjut, diselidiki sifat-sifat aljabar operasi matriks soft, yaitu komutatif, asosiatif, hukum distributive, hukum De Morgan’s, dan absorpsi.
Co-Authors Achmad Riduansyah Ahmad Madani Ahmad Yasir Alya Hanifah Arif Audinta Sakti Firmansyah Cendikia Hira Cendikia Hira Dodon Turianto Nugrahadi Fiqriani Noor Gusti Muhammad Rosyadi Jumiati Jumiati Juwita Lasterina Lestia, Aprida Siska Lilis Harianti Hasibuan Mahfuz Tarmizi Mochammad Idris Muhammad Mahfuzh Shiddiq Muhammad Rifaldy Yanwar Na'imah Hijriati Nailah Nailah Nor Hidayati Noviliani Noviliani Nurul Huda Rohmalita Rohmalita Rusidawati Rusidawati Sapuah Sapuah Sheryn Amelia Puteri Tarmizi, Mahfuz Thresye Thresye Thresye Thresye Tiara Roihatul Jannah