Hasan Mohammad Kamrul, Ali Md. Yasin, Sultana Abeda, Mitra Nirmal Kanti
Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a universal set. The main objective of this article is...
Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra
In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (, , )-cut concept and standard interval analysis. Various related properties are explored. Finally, some computations of picture fuzzy fu...
Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra
Nowadays, picture fuzzy set theory is a flourishing field in mathematics with uncertainty by incorporating the concept of positive, negative and neutral membership degrees of an object. A traditional crisp relation represents the satisfaction or the dissatisfaction of relationship, connection or cor...
M. A. Ali, Kanak Ray Chowdhury, Abeda Sultana, Nirmal Kanti Mitra
Md. Yasin Ali, Kanak Ray Chowdhury, Abeda Sultana, Nirmal Kanti Mitra
In this paper, using "belongingness ) ( " and "quasi-coincidence ) (q " of fuzzy points and fuzzy sets, the concept of ) , ( q -fuzzy hemirings and ) , ( q -fuzzy hemirings have been introduced and some of its properties have been investigated.
Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra
Picture fuzzy relation is an important and powerful concept which is suitable for describing correspondences between objects. It represents the strength of association of the elements of picture fuzzy sets. In this paper we have defined min-max composition for picture fuzzy relations and some proper...
Muhammad Shahjalal, Saikh Shahjahan Miah, Nirmal Kanti Mitra
Md. Yasin Ali, Abeda Sultana, Nirmal Kanti Mitra
Md. Yasin Ali, Kanak Ray Chowdhury, Abeda Sultana, Nirmal Kanti Mitra
Molodtsov introduced the concept of soft set, as a mathematical tool for dealing with uncertainties. In this work, we have extended the concept of soft set in hemirings. We have studied soft hemirings and investigated some structural properties of them. Finally using these structural properties, we ...
Kanak Ray Chowdhury, Md. Yasin Ali, Abeda Sultana, Nirmal Kanti Mitra
Rajnesh K. Mudaliar, K. Ramanuja Rao, Muhammad Shahjalal, Nirmal Kanti Mitra
Interval Valued Fuzzy Sets play a very important role in the fuzzy set theory. In this paper solutions of fuzzy relation equation x · A = b are studied, where A is an interval valued fuzzy m × n matrix, b is an interval valued fuzzy n-vector and the · operation is a Max-Min operation of matrices. Th...