Distance Measures and Operations in Intuitionistic and Interval-Valued Intuitionistic Fuzzy Soft Set Theory

2018

Int J Intell Syst

The aim of this paper is to develop some new power aggregation operators for intuitionistic fuzzy (IF) soft numbers. The aggregation operators are named as IF soft power averaging (IFSPA) operator, weighted IFSPA (WIFSPA) operator, ordered WIFSPA operator, IF soft power geometric (IFSPG) operator, and weighted and ordered weighted IFSPG aggregation operators. The salient features of these operators are discussed in detail. Further, these operators are extended to its generalized version and called generalized IFSPA or geometric aggregation operators. Then, we utilized these operators to develop an approach to solve the decision‐making problem under IF soft set environment and demonstrated with an illustrative example. A comparative analysis of existing approaches has been done for showing the validity of the proposed work.

Section: Proposed Dm Approachmentioning

confidence: 99%

Section: Comparative Studymentioning

confidence: 99%

Generalized intuitionistic fuzzy soft power aggregation operator based ont‐norm and their application in multicriteria decision‐making

2018

Int J Intell Syst

“…[28][29][30][31][32][33]. Furthermore, various researchers [34][35][36][37] have proposed several types of distance and similarity measures under FSS and/or IFSS environments. Roy and Maji [38] presented an approach to decision making problems under FSS environment.…”

Section: Introductionmentioning

confidence: 99%

A robust aggregation operators for multi-criteria decision-making with intuitionistic fuzzy soft set environment

2017

Scientia Iranica

Abstract. Soft set theory acts as a fundamental tool for handling the uncertainty in the data by adding a parameterized factor during the process unlike fuzzy as well as intuitionistic fuzzy set theory. In this manuscript, an attempt has been made to compare two Intuitionistic Fuzzy Soft Numbers (IFSNs) and then weighted averaging and geometric aggregation operators for aggregating the di erent input arguments have been presented. Further, their various properties have been established. The e ectiveness of these operators has been demonstrated through a case study.

“…Meanwhile, the study of hybrid model, which combines the soft sets with other mathematical structure, also pays a great deal of attention; hence, an active research topic of soft set theory will be presented. A lot of extensions of soft set model have also been developed recently on intuitionistic fuzzy soft sets [27,29], generalized fuzzy soft set [30,31], generalized intuitionistic fuzzy soft set [32,33], distance measures [34][35][36][37][38], and fuzzy number intuitionistic fuzzy soft sets [39]. Apart from that, FSSs have been also successfully applied to MCDM problems in recent years [40,41].…”

Section: Introductionmentioning

confidence: 99%

Prioritized averaging/geometric aggregation operators under the intuitionistic fuzzy soft set environment

2017

Scientia Iranica

Abstract. Soft set theory acts as a fundamental tool for handling uncertainty in the data by adding a parameterization factor during the process as compared to fuzzy and intuitionistic fuzzy set theory. In the present manuscript, the work has been done under environment of the Intuitionistic Fuzzy Soft Sets (IFSSs), and some new averaging/geometric prioritized aggregation operators have been proposed whose preferences, related to attributes, are made in the form of IFSSs. Their desirable properties have also been investigated. Furthermore, based on these operators, an approach to investigating the Multi-Criteria Decision Making (MCDM) problem has been presented. The e ectiveness of these operators has been demonstrated through a case study.