LMLML^M-valued equalities, LMLML^M-rough approximation operators and MLMLML-graded ditopologies

Alexander \V{S}OSTAK; Aleksandrs ELKİNS

Makale detayları

LMLML^M-valued equalities, LMLML^M-rough approximation operators and MLMLML-graded ditopologies

Yazarlar:

Alexander \V{S}OSTAK | Aleksandrs ELKİNS

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 1, pp.15-32

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452341

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

We introduce a certain many-valued generalization of the concept of an LLL-valued equality called an LMLML^M-valued equality. Properties of LMLML^M-valued equalities are studied and a construction of an LMLML^M-valued equality from a pseudo-metric is presented. LMLML^M-valued equalities are applied to introduce upper and lower LMLML^M-rough approximation operators, which are essentially many-valued generalizations of Z. Pawlak's rough approximation operators and of their fuzzy counterparts. We study properties of these operators and their mutual interrelations. In its turn, LMLML^M-rough approximation operators are used to induce topological-type structures, called here MLMLML-graded ditopologies.

Makale detayları

LMLML^M-valued equalities, LMLML^M-rough approximation operators and MLMLML-graded ditopologies

Yazarlar: Alexander \V{S}OSTAK | Aleksandrs ELKİNS

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 1, pp.15-32

Belge Tipi: Makale

Yayın Tarihi: 1/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000452341

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Alexander \V{S}OSTAK | Aleksandrs ELKİNS

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 1, pp.15-32

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452341

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X