Ajoy Kanti Das

Weighted fuzzy soft multiset and decision-making

Fuzzy soft multiset (FSMS) is a substantial and important fuzzy generalization of soft set and multiset (also called bag). In this paper, we have presented the idea of weighted fuzzy soft multiset (WFSMS) as a generalization of FSMS and its basic properties are to be studied. Also, we introduce a new adjustable approach to WFSMS based decision-making, for solving decision-making in an uncertain situation. The feasibility of our proposed WFSMS based decision-making procedure in practical application is read by a mathematical example.

Application of Fuzzy Soft Multi Sets in Decision-Making Problems

Alkhazaleh and Salleh presented a fuzzy soft multi set theoretic approach to solve decision-making problems using the Roy-Maji Algorithm, which has some limitations. In this research work, we have proposed an algorithm to solve fuzzy soft multi set based decision making problems using the Feng’s algorithm, which is more stable and more feasible than the Alkhazaleh–Salleh Algorithm. The feasibility of our proposed algorithm in practical applications is illustrated by a numerical example.

Relations on Intuitionistic Fuzzy Soft Multi Sets

The theory of soft set and multiset are vital mathematical tools used in handling uncertainties about vague concepts. In this paper we define a new operation product of two intuitionistic fuzzy soft multi setsand present the concept of relations in intuitionistic fuzzy soft multi set. The notions of null relation and absolute relation are to be defined. Also we study their properties and discuss reflexive, symmetric and transitiveintuitionistic fuzzy soft multi relations. Some new results along with illustrating examples have been put forward in our work.

Interval valued intuitionistic fuzzy soft multi set theoretic approach to decision making problems

Recently the practical application of soft computing to solve real life decision making has been developed rapidly since it can be applied easily to several areas like computer science, medical science, information technology, economics, environments, engineering, among other areas. In this research paper, we make the practical application of interval-valued intuitionistic fuzzy soft multisets in real-world decision making problems and proposed an algorithm to solve multi weighted interval valued intuitionistic fuzzy soft multiset based decision making by applying weighted choice values. The feasibility of our proposed algorithm in practical applications is illustrated by a numerical model.

Application of Interval Valued Intuitionistic Fuzzy Soft Set in Investment Decision Making

Research on soft computing techniques have been developed rapidly since it can be applied easily to several areas like artificial intelligence, computer science, medical science, machine learning, information technology, economics, environments, engineering, among others. In this study, we introduce an investment decision making procedure for solving investment decision making formed by interval valued intuitionistic fuzzy soft set after choosing certain opinion weighting vectors. The feasibility of our proposed investment decision making procedure in practical applications is shown by some numerical models.

Measurable soft sets

The soft set is a mapping from a parameter to the crisp subset of universe. Molodtsov introduced the concept of soft sets as a generalized tool for modeling complex systems involving uncertain or not clearly defined objects. In this paper the concept of measurable soft sets are introduced and their properties are discussed. The open problem of this paper is to develop measurable functions and lebesgue integral in soft set theory context.

A Novel Approach to Weighted Interval-Valued Intuitionistic Fuzzy Soft Multi Sets Based Decision Making

Soft Set theory is one of the recent topics gaining signicance in nding rational and logical solutions to various real life problems which involve uncertainty, impreciseness and vagueness. In this article we have introduced the notions of reduct weighted intuitionistic fuzzy soft multi sets of weighted interval valued intuitionistic fuzzy soft multi set and propose an adjustable approach to weighted interval-valued intuitionistic fuzzy soft set based decision making by using reduct weighted intuitionistic fuzzy soft sets and level soft sets of reduct intuitionistic fuzzy soft sets. Some illustrative example is employed to show the feasibility of our approach in practical applications.