An intuitionistic fuzzy set, characterized by a membership function and a non-membership function, is a generalization of fuzzy set. In this paper, based on score function and accuracy function, we introduce a method for the comparison between two intuitionistic fuzzy values and then develop some aggregation operators, such as the intuitionistic fuzzy weighted averaging operator, intuitionistic fuzzy ordered weighted averaging operator, and intuitionistic fuzzy hybrid aggregation operator, for aggregating intuitionistic fuzzy values and establish various properties of these operators.

Intuitionistic Fuzzy Aggregation Operators

Theory of fuzzy integrals and its applications

General Topology-I

This text, drawn from the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-term course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semi-simple rings, Jacobson's theory of the radical representation theory of groups and algebras, prime and semi-prime rings, primitive and semi-primitive rings, division rings, ordered rings, local and semi-local rings, and perfect and semi-perfect rings. By aiming the level of writing at the novice rather than at the expert, and by stressing the role of examples and motivation, the author has produced a text which is suitable not only for use in a graduate course, but also for self-study by other interested graduate students. Numerous exercises are also included. This graduate textbook on rings, fields and algebras is intended for graduate students in mathematics.

A first course in noncommutative rings, by T. Y. Lam. Pp. 385. £37 (pb), £62.50 (hb). 2001. ISBN 0 387 95325 6 (pb), 0 387 95183 0 (hb) (Springer-Verlag).

Intuitionistic preference relations and their application in group decision making

Fuzzy H v -groups

Roughness in modules

A Brief Excursion into Group Theory Hypergroups: Definitions and Examples of Hypergroups Some Kinds of Subhypergroups Homomorphism of Hypergroups Regular and Strongly Regular Relations Complete Hypergroups Join Spaces Polygroups: Definition and Examples of Polygroups Extensions of Polygroups by Polygroups Subpolygroups and Quotient Polygroups Isomorphism Theorem of Polygroups γ* Relation on Polygroups Generalized Permutation Permutation Polygroups Representation of Polygroups Polygroup Hyperrings Solvable Polygroups Nilpotent Polygroups Weak Polygroups: Weak Hyperstructures Weak Polygroups Fundamental Relation on Weak Polygroups Small Weak Polygroups Combinatorial Aspects of Polygroups: Chromatic Polygroups Polygroups Derived from Cogroups Conjugation Lattice

Polygroup Theory And Related Systems

The aim of this paper is to introduce the notion of a rough soft hemiring, which is an extended notion of a rough hemiring and a soft hemiring. We study roughness in soft hemirings with respect to Pawlak approximation spaces. Some new rough soft operations are explored. In particular, lower and upper rough soft hemirings and k-idealistic, h-idealistic, strong h-idealistic idealistic soft hemirings are investigated. Finally, an important result on an upper strong h-idealistic rough soft hemiring via Bourne's congruence relations are obtained.

Bijan Davvaz

Papers

Fuzzy H v -groups

Roughness in modules

Polygroup Theory And Related Systems

A new rough set theory: rough soft hemirings

Roughness based on fuzzy ideals