We give new sharp bounds for the number of generators for fuzzy ideals The pioneering works of Zadeh and Rosenfeld led to the fuzzi cation of algebraic structures Liu introduced and examined the notion of a fuzzy ideal of a ring Malik and Mordeson have been studying properties of fuzzy ideals see for example and The concept of minimal generating systems for fuzzy ideals was introduced in It has...

The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders. Furthermore, a construction of generalized ideals from preideals, and vice versa, is obtained. As a particular consequence of the results in this paper, a construction of fuzzifying t...

In this paper we have defined anti fuzzy interior ideal in semigroups. We characterize regular, intra-regular and left (right) quasi-regular semigroups by the properties of their anti fuzzy ideals, anti fuzzy bi-ideals, anti fuzzy generalized bi-ideals, anti fuzzy interior ideals and anti fuzzy quasi-ideals.

In this paper, the concept of an (∈,∈∨qk)-intuitionistic fuzzy ideal of a hemiring, which is a generalization of the concept of an(∈,∈∨qk)-intuitionistic fuzzy ideal of a hemiring.. Also, we study some of their basic properties. Mathematics subject classification: 08A72 • 03F55 • 20M12

A right ternary N -group (RTNG) over a right ternary near-ring N is a generalization of its binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft N -subgroups and N -ideals over right ternary N -groups are defined and their basic algebraic properties are studied. Fuzzy soft N -subgroups and N...

a shortest path problem is a practical issue in networks for real-world situations. this paper addresses the fuzzy shortest path (fsp) problem to obtain the best fuzzy path among fuzzy paths sets. for this purpose, a new efficient algorithm is introduced based on a new definition of ideal fuzzy sets (ifss) in order to determine the fuzzy shortest path. moreover, this algorithm is developed for ...

Abstract The purpose of this paper is to extend the TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method for solving multiple attribute decision making (MADM) problems with trapezoid fuzzy linguistic variables. To begin with, this paper introduces the concept of the trapezoid fuzzy linguistic variables, and defines the distance between two trapezoid fuzzy linguistic v...

We investigate the thermodynamics of ideal gas on the spacetime with noncommutative fuzzy geometry. We first find that the heat capacity of the ideal boson and fermion on the fuzzy two-sphere have different values, contrast to that on the commutative geometry, and see that the heat capacity approaches to zero in high-temperature limit. We next evaluate the heat capacity of the ideal boson and f...

Frequency control is one of the key parts for the arrangement of the performance of a microgrid (MG) system. Theoretically, model-based controllers may be the ideal control mechanisms; however, they are highly sensitive to model uncertainties and have difficulty with preserving robustness. The presence of serious disturbances, the increasing number of MG, varying voltage supplies of MGs, and bo...