Intuitionistic Fuzzy Soft Multisets Theory

Lecture Notes in Electrical Engineering, 2015

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.

Cornell University - arXiv, 2010

In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in decision making with respect to degree of preference is investigated.

In this paper we introduce the concept of interval valued intuitionistic fuzzy soft multisets and study their properties and operations. Then the concept of interval valued intuitionistic fuzzy soft multiset relations (IVIFSMS-relations for short) is proposed. The basic properties of the IVIFSMS-relations are also discussed. Finally various types of IVIFSMS-relations are presented.

2013

In this work, we first define intuitionistic fuzzy parametrized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. We also give an example which shows that they can be successfully applied to problems that contain uncertainties.

arXiv (Cornell University), 2013

In this work, we present definition of intuitionistic fuzzy parameterized (IF P) intuitionistic fuzzy soft set and its operations. Then we define IF P-aggregation operator to form IF P-intuitionistic fuzzy soft-decision-making method which allows constructing more efficient decision processes.

International Conferences on Science and Technology Natural Science and Technology, 2019

The concept of intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets (ifpifs-sets) is a new and useful mathematical tool propounded to model uncertainties. In this study, to improve this concept, we first present the difference and the symmetric difference between two intuitionistic fuzzy sets (if-sets) and investigate some properties. Secondly, on ifpifs-sets, we propose some new operations such as the relative union/intersection/difference and study some properties. We then suggest a new soft decision-making method and apply this method to a decision-making problem. Finally, we discuss ifpifs-sets and the method mentioned above for further research.

Advances in Decision Sciences, 2012

Possibility intuitionistic fuzzy soft set and its operations are introduced, and a few of their properties are studied. An application of possibility intuitionistic fuzzy soft sets in decision making is investigated. A similarity measure of two possibility intuitionistic fuzzy soft sets has been discussed. An application of this similarity measure in medical diagnosis has been shown.

Applied Mathematical Sciences

Molodtsov introduced the concept of soft sets and application of soft sets in decision making and medical diagnosis problems. This was later generalized to soft fuzzy set. In this paper we present the innovative definition of a soft intuitionistic fuzzy set. We also present the definitions of the operations of union, intersection, OR and AND operators of soft intuitionistic fuzzy sets along with illustrative examples.

In this paper, three new operations are introduced on intuitionistic fuzzy soft sets .They are based on concentration, dilatation and normalization of intuitionistic fuzzy sets. Some examples of these operations were given and a few important properties were also studied.

Applied Soft Computing, 2015

In this work, we first define intuitionistic fuzzy parametrized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. We also give an example which shows that they can be successfully applied to problems that contain uncertainties.