Annals of Communications in Mathematics

This paper aim is to apply the notions of the intersection and the union of any fuzzy set to UP-algebras. We investigate properties of the intersection and the union of T-fuzzy UP-subalgebras, T-fuzzy near UP-filters, T-fuzzy UP-filters, T-fuzzy UPideals, T-fuzzy strongly UP-ideals, anti-T-fuzzy UP-subalgebras, and anti-T-fuzzy near UP-filters of UP-algebras.

SAWITTREE THONGARSA
DEPARTMENT OF MATHEMATICS, SCHOOL OF SCIENCE, UNIVERSITY OF PHAYAO, PHAYAO 56000, THAILAND
Email: th.sawittree@gmail.com

PAKPIMON BURANDATE
DEPARTMENT OF MATHEMATICS, SCHOOL OF SCIENCE, UNIVERSITY OF PHAYAO, PHAYAO 56000, THAILAND
Email: pakpimon.burandate@gmail.com

AIYARED IAMPAN
DEPARTMENT OF MATHEMATICS, SCHOOL OF SCIENCE, UNIVERSITY OF PHAYAO, PHAYAO 56000, THAILAND
Email: aiyared.ia@up.ac.th

 In this paper, we introduce a new kind of an m-polar fuzzy ideal of a BCK/ BCI-algebra called, an m-polar (∈, ∈ ∨q) fuzzy ideal and investigate some of its properties. Ordinary ideals and m-polar (∈, ∈ ∨ q) fuzzy ideals are connected by means of level cut subset.

ANAS AL-MASARWAH
SCHOOL OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE AND TECHNOLOGY, UNIVERSITI KEBANGSAAN MALAYSIA, 43600 UKM BANGI, SELANGOR DE, MALAYSIA.
Email: almasarwah85@gmail.com

ABD GHAFUR AHMAD
SCHOOL OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCE AND TECHNOLOGY, UNIVERSITI KEBANGSAAN MALAYSIA, 43600 UKM BANGI, SELANGOR DE, MALAYSIA
Email: ghafur@ukm.edu.my

This paper consists of two sections A and B. Section A exhibits rectangles, where, in each rectangle, the area added with its semi-perimeter is a Trimorphic number. Section B presents rectangles, where, in each rectangle, the area minus its semi-perimeter is a Trimorphic number.

M.A. GOPALAN
PROFESSOR, SHRIMATI INDIRA GANDHI COLLEGE,TRICHY- 620 002,TAMIL NADU,INDIA.
Email: mayilgopalan@gmail.com

S. AARTHY THANGAM
RESEARCH SCHOLAR,DEPARTMENT OF MATHEMATICS, SHRIMATI INDIRA GANDHI COLLEGE, TRICHY620 002,TAMIL NADU,INDIA
Email: aarthythangam@gmail.com

J. SRILEKHA
M.PHIL SCHOLAR,DEPARTMENT OF MATHEMATICS, SHRIMATI INDIRA GANDHI COLLEGE,TRICHY- 620 002,TAMIL NADU,INDIA
Email: jsrilekha191996@gmail.com

This paper continues the study of fuzzy group theory which has been explored over times. We propose maximal fuzzy subgroups and Frattini fuzzy subgroups of fuzzy groups as extensions of maximal subgroups and Frattini subgroups of classical groups. It is shown that every Frattini fuzzy subgroup is both characteristic and normal,
respectively. Finally, some results are established in connection to level subgroups and alpha cuts of fuzzy groups.

P. A. EJEGWA
DEPARTMENT OF MATHEMATICS/STATISTICS/COMPUTER SCIENCE, UNIVERSITY OF AGRICULTURE, P.M.B. 2373, MAKURDI, NIGERIA
Email: ejegwa.augustine@uam.edu.ng; ocholohi@gmail.com

J. A. OTUWE 
DEPARTMENT OF MATHEMATICS, PRIST DEEMED TO BE UNIVERSITY, THANJAVUR, INDIA
Email: talk2josephotuwe2016@gmail.com

This paper deals with some existence and uniqueness of random solutions for a coupled system of Caputo–Hadamard fractional differential equations with four-point boundary conditions and random effects in generalized Banach spaces. Some applications are made of generalizations of classical random fixed point theorems on generalized Banach spaces. An illustrative example is presented in the last section.

SAID ABBAS
LABORATORY OF MATHEMATICS, GEOMETRY, ANALYSIS, CONTROL AND APPLICATIONS, TAHAR MOULAY UNIVERSITY OF SA¨IDA, P.O. BOX 138, EN-NASR, 20000 SA¨IDA, ALGERIA
Email: abbasmsaid@yahoo.fr

NASSER AL ARIFI
COLLEGE OF SCIENCE, GEOLOGY AND GEOPHYSICS DEPARTMENT, KING SAUD UNIVERSITY, RIYADH
11451, SAUDI ARABIA
Email: nalarifi@ksu.edu.sa

MOUFFAK BENCHOHRA
LABORATORY OF MATHEMATICS, DJILLALI LIABES UNIVERSITY OF SIDI BEL-ABBES` , P.O. BOX 89, SIDI BEL-ABBES` 22000, ALGERIA
DEPARTMENT OF MATHEMATICS, COLLEGE OF SCIENCE, KING SAUD UNIVERSITY, P.O. BOX 2455, RIYADH 11451, SAUDI ARABIA
Email: bennchohra@yahoo.com

GASTON N’GUER´ EKATA
UNIVERSITY DISTINGUISHED PROFESSOR, DEPARTMENT OF MATHEMATICS, MORGAN STATE UNIVERSITY, 1700 E. COLD SPRING LANE, BALTIMORE M.D. 21252, USA
Email: Gaston.N’Guerekata@morgan.edu

In BCK/BCI-algebras, the notion of Sup-hesitant fuzzy subalgebra is introduced, and related properties are investigated. Characterizations of a Sup-hesitant fuzzy subalgebra are discussed. Sup-hesitant fuzzy translation and Sup-hesitant fuzzy extension of Sup-hesitant fuzzy subalgebras are introduced, and their relations are investigated.

G. MUHIUDDIN
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF TABUK, TABUK 71491, SAUDI ARABIA.
Email: chishtygm@gmail.com

YOUNG BAE JUN
DEPARTMENT OF MATHEMATICS EDUCATION, GYEONGSANG NATIONAL UNIVERSITY, JINJU 660-701,
KOREA
Email: skywine@gmail.com