Mohamad Muslikh
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The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm Wijaya, Ongky Denny; Alghofari, Abdul Rouf; Hidayat, Noor; Muslikh, Mohamad
CAUCHY Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi (May 2022) (Issue in Progress)
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.13351

Abstract

Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in 1986 in theirs paper. Now, many of researcher connecting intuitionistic fuzzy set with algebraic structure. We interested to combine some concepts over intuitionistic fuzzy set, module of a ring, t-norm, t-conorm, and intuitionistic anti fuzzy. In this paper, we discusses about intuitionistic anti fuzzy module t-norm and t-conorm (IAFMTC) and their properties with respect to module homomorphism, maps, pre-image, and anti-image from intuitionistic fuzzy sets. We have investigate all properties of IAFMTC.
Solusi Regularitas Persamaan Diferensial Parsial Eliptik Linier Orde Dua Sa'adatul Fitri; Mohamad Muslikh; Abdul Rouf Alghofari
Journal of Natural A Vol 1, No 1 (2013)
Publisher : Fakultas MIPA Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Dalam paper ini akan dipelajari solusi regularitas dari persamaan diferensial parsial eliptik linier orde dua. Pertama akan ditunjukkan keeksisan dan ketunggalan solusi lemah dari model di ruang Hilbert. Selanjutnya akan dibangun persamaan homogen yang terkait untuk mempelajari sifat ketaksamaan Harnack dan estimasi De Giorgi-Nash-Moser. Terakhir, dengan menggunakan sifat tersebut dan karakterisasi Campanato akan ditunjukkan solusi regularitas dari model.
EKSISTENSI SELEKTOR TERUKUR PADA FUNGSI BERNILAI HIMPUNAN DI DALAM RUANG BANACH TAK SEPARABEL Mohamad Muslikh
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2941

Abstract

In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the set-valued functions exist if the value of set-valued function is a subset of a separable Banach spaces. In this article show that the set-valued function has a measurable selector in non separable Banach spaces.
Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type Mohamad Muslikh; Khoirunisa, Khoirunisa; Karim, Corina; Muslikh, M.
CAUCHY Vol 7, No 1 (2021): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i1.13105

Abstract

In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
EKSISTENSI SELEKTOR TERUKUR PADA FUNGSI BERNILAI HIMPUNAN DI DALAM RUANG BANACH TAK SEPARABEL Mohamad Muslikh
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2941

Abstract

In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the set-valued functions exist if the value of set-valued function is a subset of a separable Banach spaces. In this article show that the set-valued function has a measurable selector in non separable Banach spaces.