Abstract

The concept of generalized vague soft expert set and its operations are proposed. The basic operations of generalized vague soft expert set theory AND and OR operations are defined along with illustrative examples.

Highlights

  • Molodtsov [1] mentioned a soft set as a mathematical way to represent and solve uncertainties

  • Vague set theory was provided by Xu et al [3]

  • Alhazaymeh et al [8] introduced the concept of soft intuitionistic fuzzy sets followed by the notions of vague soft sets [9], [10] and interval-valued vague soft sets [11], [12], [13]

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Summary

Introduction

Molodtsov [1] mentioned a soft set as a mathematical way to represent and solve uncertainties. Salleh et al [4] and Alkhazaleh et al [5], [6], [7] further extended studies on fuzzy soft sets. Alhazaymeh et al [8] introduced the concept of soft intuitionistic fuzzy sets followed by the notions of vague soft sets [9], [10] and interval-valued vague soft sets [11], [12], [13]. Adam and Hassan [16] ventured into multi Q-fuzzy parameterized soft sets. Hassan [17] introduced vague soft expert set of which we are extending to generalized vague soft expert set. We state the concept of generalized vague soft expert set and some operations with illustrative examples. Decision making are no longer exclusive to certainty data such as goal programming [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29] and data envelopment analysis [30], [31], [32]

Preliminaries
Generalized Vague Soft Expert Set
Conclusion
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