Tapan Senapati

Cubic Subalgebras and Cubic Closed Ideals of B-algebras

Abstract In this paper, the concept of cubic set to subalgebras, ideals and closed ideals of -algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of -algebras investigated. The homomorphic image and inverse image of cubic subalgebras, ideals are studied and some related properties are investigated. Also, the product of cubic -algebras are investigated.

(∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebras of a BCI-algebra

In this paper, we first introduce the concept of quasi-coincidence of an intuitionistic fuzzy point within an intuition- istic fuzzy set. By using this new idea, we further introduce the notions of (∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebras of BCI-algebras and investigate some of their related properties. Some characterization theorems of these generalized intuitionis- tic fuzzy BCI-subalgebras are derived. Then we study the cartesian product of (∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebras. Finally, we introduce the homomorphism of intuitionistic fuzzy BCI-algebras, and prove that image and inverse image of an intuitionistic fuzzy set on a BCI-algebra should be an (∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebra on the basis of homomorphism of BCI-algebra.

Derivation, f-derivation and generalized derivation of KUS-algebras

In this paper, the notion of left-right (respectively, right-left) derivation, f-derivation, generalized derivation of KUS-algebras are introduced and their properties are established in details.

Atanassov’s intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra

In this paper, by using the t-norm T and t-conorm S, we introduce the intuitionistic fuzzy bi-normed KU-ideals of a KU- algebra. Some properties of intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra under the homomorphism are discussed. The direct product and the (T, S )-product of intuitionistic fuzzy bi-normed KU-ideals are particularly investigated. Some results obtained in this paper can be regarded as extended and generalized results recently given by S.M. Mostafa et al. concerning the intuitionistic fuzzy KU-ideals in KU-algebras.

Picture fuzzy Dombi aggregation operators: Application to MADM process

Abstract The operations of t -norm and t -conorm, developed by Dombi, were generally known as Dombi operations which may have a better expression of application if they are presented in a new form of flexibility within the general parameter. To the best of our knowledge, Dombi operations are yet to be applied in exhibiting picture fuzzy sets in an appropriate form and shape. Inspired by the established theory of Dombi operations and by applying picture fuzzy numbers (PFNs), in the present study, we propose picture fuzzy Dombi weighted average (PFDWA) operator, picture fuzzy Dombi order weighted average (PFDOWA) operator, picture fuzzy Dombi hybrid weighted average (PFDHWA) operator, picture fuzzy Dombi weighted geometric (PFDWG) operator, picture fuzzy Dombi order weighted geometric (PFDOWG) operator and picture fuzzy Dombi hybrid weighted geometric (PFDHWG) operator in a new light. These aforesaid operators are enormously used in the operational parameter to help a successful solution of the given problem. Here in our endeavored study, we develop a model for picture fuzzy Dombi aggregation operators to solve multiple attribute decision making (MADM) methods in an updated way. And at the end of our study a practical application of the deducted decision over investment alternatives is reported in accordance with the enjoyment or utility of the proposed work.

t-derivations on complicated subtraction algebras

Abstract In this paper, the notion of t-derivation, generalized t-derivation are introduced on complicated subtraction (c-subtraction) algebra, which is a generalization of subtraction algebra and investigated their properties in details.