Nasruddin Hassan

Possibility Fuzzy Soft Set

We introduce the concept of possibility fuzzy soft set and its operation and study some of its properties. We give applications of this theory in solving a decision-making problem. We also introduce a similarity measure of two possibility fuzzy soft sets and discuss their application in a medical diagnosis problem.

Vague soft expert set theory

The concept of fuzzy soft expert set theory and its operations were reviewed. The concept of vague soft expert set theory is introduced. Its operations such as equal, subset, complement, union and intersection are defined. Illustrative examples of vague soft expert set are then given.

Interval-valued vague soft sets and its application

Molodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft set and its operations such as equality, subset, intersection, union, AND operation, OR operation, complement, and null while further studying some properties. We give examples for these concepts, and we give a number of applications on interval-valued vague soft sets.

Neurogenetic algorithm for solving combinatorial engineering problems

Diversity of the population in a genetic algorithm plays an important role in impeding premature convergence. This paper proposes an adaptive neurofuzzy inference system genetic algorithm based on sexual selection. In this technique, for choosing the female chromosome during sexual selection, a bilinear allocation lifetime approach is used to label the chromosomes based on their fitness value which will then be used to characterize the diversity of the population. The motivation of this algorithm is to maintain the population diversity throughout the search procedure. To promote diversity, the proposed algorithm combines the concept of gender and age of individuals and the fuzzy logic during the selection of parents. In order to appraise the performance of the techniques used in this study, one of the chemistry problems and some nonlinear functions available in literature is used.

Multi Q-fuzzy parameterized soft set and its application

In this paper, we give the definitions of a multi Q-fuzzy set and a multi Q-fuzzy parameterized soft (M k QFP−soft) set and their operations, namely complement, quality, subset, union, and intersection operations. We then propose a decision making method based on M k QFP−soft set theory. We finally give an example which shows that the method can be successfully applied to problems that contain uncertainties.

The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros

The point symmetric single step procedure PSS1 has R-order of convergence at least 3. This procedure is modified by adding another single-step, which is the third step in PSS1. This modified procedure is called the point zoro symmetric single-step PZSS1. It is proven that the R-order of convergence of PZSS1 is at least 4 which is higher than the R-order of convergence of PT1, PS1, and PSS1. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously.

Neutrosophic vague soft expert set theory

In this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.

Properties on the multi Q-fuzzy soft matrix

In this paper, we recall the definitions and properties regarding soft set and multi Q-fuzzy set. We then define multi Q-fuzzy soft (mQ-fs) matrices which are representations of multi Q-fuzzy soft sets in terms of null, absolute and equal, followed by propositions on submatrix, quality, symmetric, addition and subtraction. We introduce the definitions of union and intersection of multi Q-fuzzy soft matrices and derive some of their properties extending the AND and OR operations. The concept of multi Q-fuzzy soft matrix is illustrated by an example based on the multi Q-fuzzy soft relation provided.

Q-fuzzy soft matrix and its application

In this paper, we define Q-fuzzy soft (Q-fs) matrices and their operations namely, submatrix, quality, symmetric, addition, subtraction, union, intersection, AND and OR operations. We finally construct a Q-fs-max-max decision making method which can be successfully applied to problems that contain uncertainties.

Modification on interval symmetric single-step procedure ISS-5δ for bounding polynomial zeros simultaneously

The purpose of this paper is to establish a new modified method. This modified procedure is called the Interval Symmetric Single Step-5 Delta Procedure ISS-5δ. This research start with some disjoints intervals as the initial intervals which contain the polynomial zeros. The procedure of ISS-5δ will generate smaller bounded close intervals. The procedure is run on 5 test polynomials and the results obtained show that this procedure is more efficient than previous procedure.